Thank youfor your efforts, but example 1 and 2 are confusing because in the first one you have kept the 5 inside the brackets and you have changed the sign to negative, otherwise in example 2 you have got the 5 outside the brackets and you didn't make any change with it in the sign even if you have got the ( -2 from the function and divided it to all the function except the 5 ). so, please can you describe me this situation. Thank you again
Hi Examsolutions, I understand everything except whether you keep the c term in the square bracket or not. E..g in your example 4+10x-x^2 I kept the -2 outside the square bracket so i didnt multiply it out when removing the square brackets. My final answer for that question was 21- (x-5)^2 Please can you explain why in some examples you put c in the square bracket but in some you do not. Thanks
Hi Stuart. Just wanted to say thank you for everything your videos have really helped me! If it wasn’t for you I’d be struggling in maths but now I’m on track for an A* :) Just wondering, will you be uploading a tutorial for proof by contradiction? Many thanks
Thank you and for any support you give in return. This is all I have done so far on proof www.examsolutions.net/a-level-maths/edexcel/pure-maths-a-level-tutorials/#proof Best wishes for that A* Stuart
Hi, just a quick question, when we want to prove a function is increasing eg. f(x)= x^2 -6x+36 why do we state that x^2 is greater than or equal to 0, therefore f(x) is increasing? I don’t understand why we do this for proof as well (where we state that x^2 is greater than or equal to 0). The question is prove that for all real values of x, (x+6)^2 is equal to or greater than 2x + 11.
surely in the first example we don't want 16 so wouldn't it be correct to make it plus 16 so when multiplied by the minus sign it would disappear? in your example we added 16!!
Thank youfor your efforts, but example 1 and 2 are confusing because in the first one you have kept the 5 inside the brackets and you have changed the sign to negative, otherwise in example 2 you have got the 5 outside the brackets and you didn't make any change with it in the sign even if you have got the ( -2 from the function and divided it to all the function except the 5 ). so, please can you describe me this situation. Thank you again
Hi Examsolutions, I understand everything except whether you keep the c term in the square bracket or not. E..g in your example 4+10x-x^2 I kept the -2 outside the square bracket so i didnt multiply it out when removing the square brackets. My final answer for that question was 21- (x-5)^2 Please can you explain why in some examples you put c in the square bracket but in some you do not. Thanks
Hi Stuart. Just wanted to say thank you for everything your videos have really helped me! If it wasn’t for you I’d be struggling in maths but now I’m on track for an A* :)
Just wondering, will you be uploading a tutorial for proof by contradiction? Many thanks
Thank you and for any support you give in return.
This is all I have done so far on proof www.examsolutions.net/a-level-maths/edexcel/pure-maths-a-level-tutorials/#proof
Best wishes for that A*
Stuart
Hi, just a quick question, when we want to prove a function is increasing eg. f(x)= x^2 -6x+36 why do we state that x^2 is greater than or equal to 0, therefore f(x) is increasing? I don’t understand why we do this for proof as well (where we state that x^2 is greater than or equal to 0).
The question is prove that for all real values of x, (x+6)^2 is equal to or greater than 2x + 11.
Taylor Shill
www.examsolutions.net/a-level-maths/edexcel/pure-maths-a-level-tutorials/#proof check this one out
Could you please respond to @HENDIOV question below please
Why is it -4 in the second to last but +1 in the last one? Why did the sign not flip in that last one?
That's because I left it out of the the bracket rather than inside as the one before last did.
@@ExamSolutions_Maths Could you have done that for both of them?
@@louise1021 Yes I could have done. Just demonstrating different ways of getting to the final result. I hope that helps.
surely in the first example we don't want 16 so wouldn't it be correct to make it plus 16 so when multiplied by the minus sign it would disappear? in your example we added 16!!
My question wants in the form (ax+b)^2 +c . How do i do that?
Give me your question and I will show you.