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Nice Exponential Math Simplification | How to solve
Nice Exponential Math Simplification | How to solve
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Japanese | A Nice Exponential Algebraic Problem | Math Olympiad | How to Solve
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Japanese | A Nice Exponential Algebraic Problem | Math Olympiad | How to Solve #maths #mathcompetition #mathstricks #mathematics #matholympiad #matholympiadquestions #mathexponentialequation #mathexam University Medical Requirement Exam Interview olympiad, mathematical olympiad france math olympiad question Eligibility Requirenment for medical School france maths olympiad preparation olympiad m...
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Nice Exponential Simplification Math Problem | Olympiad Mathematics
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Nice Root Exponent Simplification Math Problem | How to Solve
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КОМЕНТАРІ

  • @eswarb4171
    @eswarb4171 2 дні тому

    Answer is 45

  • @noctier
    @noctier 4 дні тому

    Just put logs on both sides -> x=log(4*3^10, base=3). This takes only 0.1sec. What a fool are you!

  • @goldfing5898
    @goldfing5898 11 днів тому

    Other solution: 4^5 = (2 * 2)^5 = 2^5 * 2^5 = 32 * 32 = 1024 3^(4^5) = 3^1024 sqrt(3^(4^5)) = sqrt(3^1024) = sqrt(3^512 * 3^512) = 3^512

  • @Mr.pavan0
    @Mr.pavan0 12 днів тому

    ❤ 2.4.0

  • @SnapeZealous
    @SnapeZealous 12 днів тому

    Read this comment after you have solved it. I saw a pattern with the numbers, 5+5 = 50, as (5x5)x2 = 50 4+4 = 32, as (4x4)x2 = 36 And so on. 6+6 = 72, as (6x6)x2 = 72. There could most likely be a different method but that's how i solved it.

  • @FitsumBelay-c1i
    @FitsumBelay-c1i 13 днів тому

    3

  • @eswarb4171
    @eswarb4171 13 днів тому

    Answer 72

  • @TheNumberblock3.275
    @TheNumberblock3.275 13 днів тому

    M = 2 A = M + 1 A = 2 + 1 = 3 A = 3 T = 8 H = T - A H = 8 - 3 = 5 2x3x8x5=240

  • @abdulrauf8360
    @abdulrauf8360 14 днів тому

    Answer is 91

  • @user-ne9it7jq9y
    @user-ne9it7jq9y 14 днів тому

    (x+y)^3 = x^3 + 3*x^2*y + 3*x*y^2 + y^3 => x^3 + y^3 = (x+y)^3 - 3*x^2*y -3*x*y^2 = (x+y)^3 - 3xy*(x+y) = 5^3 - 3*5 =125-15 =110

  • @blandblooming5285
    @blandblooming5285 15 днів тому

    M = 2 A = 3 T = 8 H = 5 2 x 3 x 8 x 5 = 240

  • @adaywithouttears
    @adaywithouttears 15 днів тому

    6(x-3) = 36 36÷6 = 6 ×-3=6 ×=9

  • @cyruschang1904
    @cyruschang1904 15 днів тому

    √(x^2 - 25) / √(x - 5) = √(x + 5) = 10 x + 5 = 100 x = 95

  • @prajjawaltiwari9566
    @prajjawaltiwari9566 16 днів тому

    That's a good one👍

  • @key_board_x
    @key_board_x 16 днів тому

    x + y = 5 → given: (1/x) + (1/y) = 5 → 1/y = 5 - (1/x) → 1/y = (5x - 1)/x → y = x/(5x - 1) x + [x/(5x - 1)] = 5 [x.(5x - 1) + x](5x - 1) = 5 x.(5x - 1) + x = 5.(5x - 1) 5x² - x + x = 25x - 5 5x² - 25x + 5 = 0 x² - 5x + 1 = 0 ← memorize this result (x + y)³ = (x + y)².(x + y) (x + y)³ = (x² + 2xy + y²).(x + y) (x + y)³ = x³ + x²y + 2x²y + 2xy² + xy² + y³ (x + y)³ = x³ + y³ + 3x²y + 3xy² x³ + y³ = (x + y)³ - 3x²y - 3xy² x³ + y³ = (x + y)³ - (3x²y + 3xy²) x³ + y³ = (x + y)³ - 3xy.(x + y) → given: x + y = 5 x³ + y³ = 125 - 15xy → given: x + y = 5 → y = 5 - x x³ + y³ = 125 - 15x.(5 - x) x³ + y³ = 125 - 75x + 15x² → recall the memorized result: x² - 5x + 1 = 0 → x² = 5x - 1 x³ + y³ = 125 - 75x + 15.(5x - 1) x³ + y³ = 125 - 75x + 75x - 15 x³ + y³ = 125 - 15 x³ + y³ = 110

  • @ManojKumar-e3h5c
    @ManojKumar-e3h5c 16 днів тому

    Roots sum = √12 = √2×2×3 = 2√3 = √75 = √ 3×5×5 = 5√3 = √12+√75 = 2√3+5√3 = √3 ( 2+5 ) = √3.7 or 7√3 is correct Answer

  • @eswarb4171
    @eswarb4171 17 днів тому

    8 Square minus 2 square is equal to 60 6 square minus 4 square is equal t To 20 7square minus 3 square is equal to 40

  • @eswarb4171
    @eswarb4171 17 днів тому

    Answer is 40

  • @TheNumberblock3.275
    @TheNumberblock3.275 17 днів тому

    4

  • @TheNumberblock3.275
    @TheNumberblock3.275 18 днів тому

    1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20=210 Radical(210)=14.4914

  • @nazakatayob
    @nazakatayob 20 днів тому

    22+4=26 13+6=19 80+2=82 67+9=76

  • @HưngNotBad
    @HưngNotBad 22 дні тому

    w live❤❤😂

  • @mathpro926
    @mathpro926 22 дні тому

    Good solution 🎉

  • @KevinCHYeh
    @KevinCHYeh 22 дні тому

    40 or 96

  • @preetyleishangthem9045
    @preetyleishangthem9045 23 дні тому

    6

  • @gleamofcolor
    @gleamofcolor 24 дні тому

    Super 👍

  • @mariacoa-s5l
    @mariacoa-s5l Місяць тому

    20

  • @mariacoa-s5l
    @mariacoa-s5l Місяць тому

    1

  • @adaywithouttears
    @adaywithouttears Місяць тому

    6 + x = √100 6 + x = 10 × = 10 - 6 × = 4

  • @Mr.pavan0
    @Mr.pavan0 Місяць тому

  • @mikkelyt9420
    @mikkelyt9420 Місяць тому

    super annoying music

  • @saidoui7563
    @saidoui7563 Місяць тому

    there was no need to factorize by sqrt(2) bc its obvious that 4sqrt(2) - sqrt(2) is 3sqrt(2) but xhy not

  • @ЛюдмилаК-л9г
    @ЛюдмилаК-л9г Місяць тому

    1

  • @goodshepard316
    @goodshepard316 Місяць тому

    c

  • @abeonthehill166
    @abeonthehill166 Місяць тому

    Thanks for sharing !

  • @PawełDąbrowski-n3w
    @PawełDąbrowski-n3w Місяць тому

    (x²-81)^½ / (x+9)^½ = 9 x²-81 / x+9 = 81 (x-9)(x+9) / x+9 = 81 X = 90

  • @yask2035
    @yask2035 Місяць тому

    sqrt(90*30)=sqrt(3^3*2^2*5^2)=3*√3*2*5=30√3

  • @محمدمهدیادرکنی-ش3ص

    Please change video's music

    • @Testuriq-aa
      @Testuriq-aa Місяць тому

      Please suggest it will be helpful

  • @alejandrobouquillard2711
    @alejandrobouquillard2711 Місяць тому

    X⁵ is the true answer

  • @yadaiahpulkaram9327
    @yadaiahpulkaram9327 Місяць тому

    B

  • @sansanhlaing2865
    @sansanhlaing2865 Місяць тому

    A÷B=2

  • @NirajNeupane-gy4dx
    @NirajNeupane-gy4dx Місяць тому

    49

  • @Cinguun-z1f
    @Cinguun-z1f Місяць тому

    It's 7

  • @renatoalcavi4052
    @renatoalcavi4052 Місяць тому

    La respuesta es correcta, pero no el procedimiento. Considerando que se trabaja en R: 1. Se debe acotar la existencia de √ , esto es x^2-13>0 2. √49 no es +-7. Se debe resolver con diferencia de cuadrados para encontrar las dos soluciones.

  • @hasiruchamalka
    @hasiruchamalka Місяць тому

    100

  • @hasiruchamalka
    @hasiruchamalka Місяць тому

    A÷B=5

  • @Adrian-ct4si
    @Adrian-ct4si Місяць тому

    -9+-3= -12