Question

Solve by Factorization method x2=5x-36=0​

Answer 1

Step-by-step explanation:

${\red{\underline{\underline{\bold{Given:-}}}}}$

• A quadratic equation x² - 5x - 36 = 0

${\blue{\underline{\underline{\bold{To\:Find:-}}}}}$

• The value of x by factorisation method

${\green{\underline{\underline{\bold{Solution:-}}}}}$

$\bf {x}^{2} - 5x - 36 = 0$

$\bf By \: factorisation \:$

$\implies \bf {x}^{2} - 9x + 4x - 36 = 0$

$\implies \bf x(x - 9) + 4(x - 9) = 0$

$\implies \bf(x - 9)(x + 4) = 0$

$\implies \bf(x - 9) = 0 \: \: \: (or) \: \: \: (x + 4) = 0$

$\implies \bf x = 9 \: \: \: (or) \: \: \: x = -4$

$\boxed{ x = 9,\: -4}$

${\pink{\underline{\underline{\bold{Verification:-}}}}}$

Case 1 :-

Substitute x = 9 in the given quadratic equation

$\bf {x}^{2} - 5x - 36 = 0$

$\implies \bf {9}^{2} - 5(9)-36 = 0$

$\implies \bf 81 - 45 - 36= 0$

$\implies \bf 81-81 = 0$

$\implies \bf 0=0$

L.H.S = R.H.S

Case 2:-

Substitute x = -4 in the given quadratic equation

$\bf {x}^{2} - 5x - 36 = 0$

$\implies \bf {-4}^{2} - 5(-4)-36 = 0$

$\implies \bf 16 +20 - 36= 0$

$\implies \bf 36-36= 0$

$\implies \bf 0=0$

L.H.S = R.H.S

Hence Proved