Question

Solve by completing the square x^2 + 10x - 9=0

Answer 1

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Solve by completing the square x^2 + 10x - 9=0

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It cant be solved by completing the square method as coefficient of x^2 Is 1 and if we divide it to the whole gives the same equation so ,we simply solve it by factorisation method :

$= > {x}^{2} + 10x - 9 = 0$

$= > {x}^{2} + 9x + x - 9 = 0$

$= > x(x + 9) - 1(x + 9) = 0$

$= > (x - 1)(x + 9) = 0$

$= > x - 1 = 0$

$\bold{= > x = 1}$

$= > x + 9 = 0$

$\bold{= > x = - 9}$

Hence ,the roots are :(1,-9)

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