x^2+5x-9 find the roots of the equation in completing square method
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x^2+5x-9=0
x^2+5x=9
Now adding half of the square of the coefficient of x both sides i.e. (5/2)^2
So,x^2+5x+(5/2)^2=9+(5/2)^2
x^2+(5/2)^2+2.x.5/2=9+(25/4)
{x+(5/2)}^2=(36+25)/4
x+(5/2)=root over (61/4)
x=root61/2-(5/2)
x=(root61-5)/2 and (root61+5)/2 [ans]
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