Grade 9: Solving Quadratic Equations and Rational Algebraic Equations (Part I)
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- Опубліковано 5 лют 2025
- You have already mastered how to solve quadratic equations in standard form, find the roots of an equation as well as the sum and product of the roots. But what if the quadratic equation involves rational expressions? Let us learn how this could be done. 😉
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Note: This is only the first part of the lesson. The second part which consists of word problems is to be uploaded within this week. 😊
Thank you very i was so stressed out because i cant understand my own teacher😂😂😂 youre a life saver
You're welcome Mist. 😊
So sad
29 Minutes matagal bago matapos! Pero this is the right video for me to understand this topic. Thank you Sir. Makakapag sagot na ako ng Learning Tasks ☺
You're welcome Raven. 😊 Masaya ako na kahit may kahabaan ang aking mga video tutorials ay natututo talaga kayo. Which is yun naman talaga ang goal ko, ang makatulong sa inyong pagaaral. Thank you. 😊
@@sirchad maraming salamat po
@@godoflunox633 you're welcome. 👍
Knee down!!! Grabe galing nyo po sir. Ilabyou na agad😁
wow HAHAHAHAHAHA
Galing nyu po mag explain completed datails talaga..
Thanks for appreciation. 😊
Huhu maraming salamat sir chad!!! Mahirap talaga magaral magisa pag modular, buti andyan po kayo, gets na gets ko yung mga tinuturo nyo po kasi taglish. Mabuhay ka sir! : )
Maraming salamat Michelle sa suporta. Hindi ako magsasawang gawin ang mga video tutorials upang lalong makatulong sa inyo. 😊😉
nc ito gusto ko may recap sa mga nanunang lesson
Thank you ngayun po alam ko na gagawin ko😊
You're welcome Verna. 😊
natulungan mo po ako ng sobra thank you poooooo
You're welcome J1gso. 😊 Masaya akong natutulungan ko kayo. 😁
Sir thanku po dito😁 wal Oo talaga akong matutunan sa self learning module buti nalang may ganito 😅 thank yiu po talaga😄
You're welcome Patricia. 👍 I am happy that I can help you. 😁
College student po ako
Pero pinapanood ko to para sa module ng grade 9 kong kapatid. Nakalimutan ko na po kase kung pano i solve ang rational algebraic expression. Dahil dito bumalik yung kaalaman ko sa math before. Thank you po
You're welcome Janessa. 😊 Masaya akong nakakatulong ako sa inyo during this hard time. 👍
Thank you so much sir,pero ang haba ng solving,but i will try my best to solve it in school correctly 🦋
Sir thank you po ang lake pong stress nawala saken........ang galing niyo po mag turo.😊
You're welcome Lea. 😊 I am grateful to help you. 😉
Galing nyo po mag explain.dati po nahihirapan akong makaintindi ng mga lesson sa math,pero pag kayo nag explain naiintindihan ko, salamat po sir!
Your welcome Richmond. :)
i like the way you solve quadratic equations. simple and clear. thank you
Life Saver ka talaga Sir Chad. Thank you po 😭
thank you po talaga,nahihirapan na po ako kase sa sariling kong module🤣❤
Your welcome nature lover. Glad to hear that my YT channel helps you a lot. 😊
Sakton sakto po, gulong gulo na ako sa lesson buti nahanap ko to thank u po😍
Your welcome Lauren. 😉
I've been stressful since I open the module and i coudn't understand the method. Its different from face to face class so Im very thankful that a teacher like you will help us in this time of pandemic. Thankyouuuu!!❤
You're welcome Maybelle. 👍
thank u po sir! godbless
Your welcome Angelina. 😊
Sir you're so very helpful! Thank you very much for your efforts just for us to understand things
You’re welcome Aenims 😊 It is really great to hear that my video tutorials help students nowadays. Thank you for the appreciation. ☺️
Omg buti na lang may naisagot ako sa aking pagsusulit, thank you so much for making this vid!! It helps me a lot!! ^^
Wow. That’s a great news. 😊 You’re always welcome Ivy. 😊 Asahan nyong marami pang video tutorials ang aking iaupload upang mas lalo pang makatulong sa inyo. 😁
Maraming salamat po ulet sirr nagegetss ko po talaga agd! Lalo na po wala pong nagpapaliwanag sakin kaya worth it po talaga manood ng videos nyo!😊♥️
You're always welcome Miky. Maraming salamat din sa lagi nyong panunuod ng mga video tutorials ko. 😊
Hi sir chad.. Stressed nanay here 😂😂😂
Pero thank you kasi i found your videos.. Napakalinaw nio po mag explained...nalessen ang stress ko.. Dalawang anak ko nag momodule pati ako ako nag momodule na din.. Thank you po sa video mo..
Thank You😍 naiintindihan kona
Welcome Zita. 😉
Thank u po sir gets na gets ko
You're welcome Zayin. 😊 Masaya akong natututo kayo sa mga video tutorials ko. 😊
Thank you sir Ang linaw niyo po mag turo^^
You're welcome Jenna. 😊 Masaya akong natututo kayo sa mga video tutorials ko. 😊
thank you po! big help po ito!
You're welcome Mechaella. 👍😁
Dahil sayo sir naintindihan ko na😂
That's a great news Arnelson. 😊 Thanks for checking my channel. 👍😊
Sir napakalaking tulong
It's really nice to know that I can help during this new normal Ladylyn. 😉👍
Hi sir thank you for this video plz make a part 2 ASAP po😊
Sir please make how to solve a problem I am really difficult to solve them.
@@jayceenazallevi3854 hello Jaycee, I will be uploading the Part 2 of this topic within the day. Stay tuned. 😊
Here’s the link for the Part II.
ua-cam.com/video/XW3dUy_xz4c/v-deo.html
Habang na nonood ako napansin ko yung 1/2+3/4 ay kaparehas sa Module ko Tnx for your Lesson Sir!
Ganun ba Empty Buttle. 😊 Mabuti at nakatulong ako sayo. You're welcome. 👍😉
Hope the part 2 will release asap po hehe. Topic napo sya for our tom's math topic. Nag aadvance nako para nde na mahirap hahaha thanks po!
Hello Richmond, I will be uploading the Part 2 of this topic within the day. Stay tuned. 😊
Here’s the link for the Part II.
ua-cam.com/video/XW3dUy_xz4c/v-deo.html
salamat sir! nakatulong ito
You're welcome Ririka. Nawa ay mapanuod mo pa ang iba ko pang mga video tutorials upang higit pang makatulong sa inyo. 😊
Sir thank u po🤗❤️
You’re welcome Sheanne. 😊
Thank you so much po! It helps po.
You're welcome Chaeng. 😊
Very helpful and step by step explanation! Great job, Sir Chad!
Thank you iZAP. 😁 I also checked your channel and I can say that your knowledge in Mathematics can really help young minds to have a good foundation.
@@sirchad Thank you so much, Sir Chad!
@@iZAPMath you're welcome and thank you also iZAP. 😁
Thankyou sir im not done watching but i think i get it nowww how to solve the lesson💖
Thank you po 😊 huhu struggle ang pagtuturo sa pamangkin for her module (kasi medyo nalimutan ko na rin yung lesson eh nung high school ako) accounting graduate ako pero ako pa rin takbuhan pagdating sa math nakakaloka Haha thank you sir for this video 😊 na-refresh akech.
You're welcome Josajen. 😊 Nakakataba ng puso na malamang nakakatulong ako sa inyo. 😁 Danas ko din ang nararanasan mo ngayon. Kaya sa panahon ngayon ng new normal tulungan lang talaga ang magagawa natin para sa isa't isa. 😉
Salamat po mas naintindihan ko po Ang lesson namin 👍💜
You're welcome Jonalyn. I am happy to help you. 😊
thank u po sir, kahit di ko masyadong gets ikot ng solution, sana magets ko na sa next video🤣
Hello Jeli. Kayang kaya mo yan. 👍
Salamat po ser From Calamba
You're welcome Jc. 😊 Nawa ay mapanood mo pa ang mga susunod ko pang iaupload na videos upang mas higit pang makatulong sa inyo. 😊
Hshshshhshs
HAHAHAHAHA
@@kokoperoxdiana HAHAHAHA
Sana ol HAHAHAHHAQHQHHAHHAHAH
thak u po sir,nagets ko na po yung lesson namin!
You're welcome Arabella. 😊
Thank for this video sir chad! It really helps
thank you po nagets ko po yung lesson unlike po sa iba tuwing nag se-search po ako kung pano makuha yung lcd hindi po nila na e-explain ng maayos kaya medyo naguguluhan po ako btw. thank youuuu po ulit
You're welcome Zhaila. 😊 I am happy na natulungan kita. 👍
Thank you ☺️💖 so much
You're welcome Sean Wayne. 😊👍
Thank you so much sir you always make the topic easy
You're welcome Alvin. 😊
Hi sir, this is really a big help po. Kanina ko pa po hindi ma gets yung lesson sa module ko then nagtry ako magsearch sa yt and then i'm here HAHAHAHHAHAHA. Thanks po
You're welcome Joy. 😊 Asahan mong mas marami pa akong video tutorials na iaupload na mas makakatulong sa inyo. 👍😊 Stay tuned!
wahhhh very thankful poooo !!!!
Your welcome Ashley. 😊
this is a hella long equation for my brain to understand..
help.
thanks tho it helped me
Hello Aldrich. 😊 You can always message me in my Facebook Page in case you have questions in your mind. 👍😊
Salamat master✨
You're welcome Aljohn. 😊 Sana ay marami kayong matutunan sa mga susunod ko pang mga videos. 👍😊
share ko lng po Is nung grade 7 ako 73 lng grade ko sa math as in wla akong alam at wla akong gana sa math hanggang nag grade 9 ako na gusto ko na matuto dahil nag pandemya nung grade 8 ako pag d ko alam yung math nangongopya ako Kasi wla tlga ako alam kung pano mag solve or sagutan Ngayon na grade 9 ako parang Wla paren nag babago sakin Kaya mag fofocus muna ako sa math Un nlng pinanghihinaan ko :(
Waiting po sa part 2,sir parequest naman po kapag ang given ay 1/x + x/2 at 2/x - x+1/5
Hello Jeneth. Iaupload ko ang part 2 within the day. Stay tuned. 😊
Regarding naman sa iyong katanungan, maaari mong sundan ang process na ginawa ko sa video tutorial na ito. Maaari mong hanapin ang factors nang denominators ng 2 ratios and after than, you can see the LCD of them.
For example is the 1/x + x/2. You just need to find the factors of x and 2. And kung mapapansin mo, ang factors ng x is x • 1 and ang 2 is 2 • 1. Therefore, ang matitira lang ay 2 and x. So the LCD of these 2 ratio will be 2x.
Same process lang din ang iaapply sa 2nd given ratio mo. 😊 Sana ay nakatulong ako sayo. 😊
@@sirchad thaankkyou poo🥰
@@nethjeebalogo4808 You're always welcome Jeneth. 😊
Sir ask lang po dun po sa example no.2 bat d po pinalitan ung sign nung inarange na po sya dun po sa may 2x²-6x+2x+8-6=0 dba po kapag nililipat natin ung no. nag papalit tau ng sign?
Hello Trixie. Salamat sa iyong tanong. 😊 Tandaan natin na magbabago lamang ang sign ng mga numbers kapag lumiban sya ng equal sign.
Kung mapapansin mo, inarrange ko lang yung mga terms, hindi sila lumiban sa right side ng equal sign, therefore, hindi natin kailangang palitan ang signs nila.
Okay ba? 👍😊
@@sirchad ahhh thank you po sir..
@@yeonseolee6912 you're welcome Trixie. 😊
Hi Sir! From antipolo 😍 thanks po
You're welcome Anthonette. 😁
HAHAHAHAHAHA HALA HOY ANTHONETTE SING TO HAHAHAHAHAHA
HAHAHAHA IKAW HA
@@anthonettedelvalle7141 GAHAHAHA TAMANG NOOD NAKAKABOBO NA YUNG MATH
Thank you sir!!!
Your welcome Leenah. 😊
sir naman focus na focus akong nagaaral tapos may paganon sa 19:52 naka earphones pako😭 btw thaank youu so much poo!!
hello may tanong po ako plss sana masagot kasi importanteng importante toh: kailangan po bang laging ididivide sa left yung a(a+5)? for example lang po yung a(a+5).......................11:58 dyan po yung tinatanong ko ty po sana masagot!
Salamat ng marami sir!!!
You're welcome eimrej. 😊
Thank you very much sir!
Most welcome!
Thanks a lot :)
You're welcome!
Thankyou so much po sir, It helps me a lot.
Welcome Angela. 😊
Thank you po Sir! ito po lesson namin bukas eh hehe salamat po!!
Welcome Phoebe. 😊 Hope that this video will help you on your lessons.
salamat ser hirap intindihin ng nasa module e
Pleasure to help. Yun talaga ang goal ng YT channel na ito. 😊
thank u po nagets ko agad btw po may request po sana ako kung paano po yung Quadratic Equations by completing the square and Quadratic formula,Di ko po talaga kase magets teacher namin and yung sa mga ibang vids na napapanood ko thanks po in advance.
Hello Jersey. This is noted. I will include this in the list of topics I will cover. Thank you. 😊
Thank you po Sir
Welcome Aicelle. 😊
Thank you kuya. Hnd kse ako makasunod sa klase dahil sa mata ko.
Thank you po sir may masasagot na din po ako sa mga task ko T^T
You're welcome Alex. 😉 Kaya mo yan. 👍
Thank you po!
You're welcome Lian. 😊
Sana maging ksing talino tayo sir HAHAHAHA
You're already great because you are doing your very best to learn Mathematics. Just keep on practicing more in answering mathematical problems. 😊
thank you po sir you help me a lot
Welcome Gial. 😊
Bakit nawala si number 1?
Thank you sir! ❤️
Most welcome! 😉
Sir di po ba magkakaroon ng distributive property yung lcd?
Hello Kenneth, what do you mean distributive property? Pwede kang magbigay ng sample question. 😊
Thankyou ser dahil dito di ko na kailangan kopyahin yung nasa answer key AHHAHAHAHAHHAHAHA charot
Hello Shelbbyyy, ang objective ng mga video tutorials na inaupload ko ay makatulong sa inyo kung paano isolve ang mga tanong sa inyong mga module. 😊 Sa ganitong paraan, malalaman nyo na kung paano ba nakukuha ang mga sagot na nakasulat sa inyong mga answer key. 😁
Sir saan po nakuha yung 2 sa number 3? Yung sa pagsisimply po, saan po nakuha yung 2
Hi sirr thankyouu pooo💖
You're welcome Edgar. 😊
Yes sir thankyouuuuu
You're welcome Ma. Sigrid. 😊
Sir ask ko lang po, paano kung whole number hehehe? Parang ganto, 6/x + x/3 = 3? BTW Sir, ang galing, madaling maintindihan.
Thank you Analiza. 😊 I hope that our discussion through my Facebook Page helps you on your question. 👍😊
@@sirchad Thank you po Sir.❤️
@@babyninobanzon5584 you're welcome. 😊
I love you po sir😚
Thank you Thed Marion. 😊
Sir wala pa pong part 2?? Btw, thank you po, naintindihan ko siya ng malinaw hehe♡
You're welcome Coffee. The part 2 of this topic will be uploaded within the day. Stay tuned. 😊
Here’s the link for the Part II.
ua-cam.com/video/XW3dUy_xz4c/v-deo.html
thank you pooo nagets ko poo
You're welcome Sayanara. 😊
Sir kahit Po ba factoring Yung method same parin Po ba?
Hello Master. 😊 Yup. You are right. Any of the 4 methods (extracting the roots, factoring, completing the square or quadratic formula) ang gamitin, same lang ang kanilang magiging sagot. 👍😊
Ty Po💓💓
@@anonymousfielmark8316 you're welcome. 😊
waaaaah i finally understand how to get the lcd HAHAHAHA thank youuu!
You're welcome Joshelle. 👍😊
Sir ask lang po kung pwede maging negative ang isang denominator?
Hello Dwayne, salamat sa iyong tanong. Maaaring maging negative ang isang denominator. 😊 Therefore, negative ang ratio mo. 😁
Thank you po sa pagsagot and sobrang nakakatulong po talaga kayo samin mas naiintindihan ko po yung lesson sa module ang isang math problem sana mauplod na po yung part two I'll wait for it po.😊💖
@@dwaynep2726 this is noted Dwayne. I will upload the Part 2 of this topic within the day. Stay tuned. 😊
Sir, pano po kung yung symbol is < (less than) or > (greater than) po yung ginamit?
.sir gud am po pano po b to i solve * a certain pipe can fill up a tank 2 hour faster than another pipe.it takes 3 and hours for both pipes to fill up the same tank.in how many hours would the first pipe fill up the tank
Hello Ma. Niña, can you please complete the word problem? The sentence "It takes 3 and hours for both pipes to fill up the same tank". It takes 3 and ___ hours? I think the problem is incomplete.
Thank u sir❤
You're welcome Czarina. 😊
salamat po
You're welcome Richmond. 👍
Thankyou sir puro ako ml e
You're welcome. 😁 Walang problema mag-ML, basta alam mo lang dapat ang priority mo bilang isang estudyante. 👍😊
I've never been so confused my whole life😂 thanks, sir❤️
Thank you po
Welcome Aquilina. 😊
Sir banda sa pag sosolve na natin using quadratic formula is dun po banda sa x= 15±√225+200 ang ginawa nyopo is pinag plus pero ginawa kopo is pinag subtract ko then nakuha ko is 25 then square root ng 25 is 5 then hinanap ko napo ung x¹ at x² nya then i got x=5 sa x¹ then sa x² is -10 so sa equation po natin is 5+10=15 tas 5×10=50 so pwede rin po ba itong gantong solve or ung solving nyo parin po ang masunod
Root of square*
Sir thanks po,pero paano po malalaman Kung anong method Ang gagamitin? Pwede po ba kahit ano? Or karamihan po ay Quadratic formula notice po
Hello Yolo. Any method can be used as long as kung ano ang madali sa inyo. 😊 Pero karamihan ay Quadratic Formula. 😊
Hello Yolo. Any method can be used as long as kung ano ang madali sa inyo. 😊 Pero karamihan ay Quadratic Formula or Factoring. 😊
Sir thank you
Always welcome Genylla. 😊
Sa paghahanap po ng lcd what if po di po magkaparehas i mean sa sample nyo po parehas 2 diba. What if di po magkaparehas?
Hello Andrew, please continue to watch the whole video to know what must be done to know the LCD having different denominators. 😉👍
Sir thankyou as masgets koto❤
Maraming salamat Patrecia. 😊 Sana ay panuorin mo pa ang mga susunod ko pang mga videos upang mas higit na makatulong sa inyo. 😊
ummm how do you solve this? x = 4 ??
2 x - 2
Hello Rea. Can you please write the equation better? Or if you can, send the phot of the question in my Facebook Page and there, I will answer you. 👍😊
@@sirchad oh sure thank you very much :>
Pano naman po kung yung denominators ng left side of the equation is isang constant/variable lang ex. 1/x + x/2 = 11/6
Hello Carl. Thanks for your question. 😊 The process of answering it will be the same. 😉😁
Good day po Sir Chad! May question lang po ako. Paano po kapag iba din ang denominator ng sagot sa equation?
Hello Clariziah. Good day also. What do you mean iba ang denominator? Can you please give a problem that you encountered which has this situation? 😊
For example po, yung addends magkaiba ng denominator tapos pati po yung sum iba din ang denominator sa given equation. What to do po sir?
@@clariziahrodriguez9642 hello Clariziah, you can look for the LCD of all the terms. If you want, you can send me a direct message on my Facebook Page so we can discuss this. 😊
@@sirchad Okay po sir! I'll find you na lang po on Facebook. :)
Pag Sa fraction po tapos Ng negative sign Sa gitna Ng fraction lahat po Yun negative?
Ang*
@@sharmaineabarca9513 hello Sharmaine. Salamat sa tanong. 😊 If ang negative sign is nasa gitna ng fraction, therefore, the fraction itself is negative. 👍
@@sirchad lahat po Ng numbers Sa fraction?
@@sharmaineabarca9513 not all Sharmaine. It is either the numerator is negative, or the denominator is negative. Kapag kasi parehas negative ang numerator and denominator, ibig sabihin, magiging positive fraction na sya. 👍
@@sirchad ang oo nga Pala thank you po mas Lalo pa po Ako naliwanagan Sa topic
Thank you po, pwede po ba parequest kapag ang given ay
1/t +10=1/t-1?
Hello Ashley. Salamat sa iyong tanong. Maaari kang magdirect message sa aking Facebook Page upang mas lalo pa kitang matulungan. 👍🏻 Intayin ko ang message mo. 😊