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

1.	Solve by Factorization method x2=5x-36=0
Answer» 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 ${\green{\underline{\underline{\bold{Solution:-}}}}}$ $\bf {x}^{2} - 5x - 36 = 0$ $\bf By \: factorisation \:$ $\implies \bf {x}^{2} - 9x + 4x - 36 = 0$ $\implies \bf x(x - <klux>9</klux>) + <klux>4</klux>(x - 9) = 0$ $\implies \bf(x - 9)(x + 4) = 0$ $\implies \bf(x - 9) = 0 \: \: \: (or) \: \: \: (x + 4) = 0$ $\implies \bf x = 9 \: \: \: (or) \: \: \: x = -4$ $\boxed{ x = 9,\: -4}$ ${\pink{\underline{\underline{\bold{Verification:-}}}}}$ 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

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