# Finding the roots of quadratic equation be completing square method &formula method

1
ques?

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ques?

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for this let us take a quadratic equation ax^2+bx+c=0

step 1 :-

Reduce the coefficient of x^2 to 1

a(x^2+(b/a)x+c/a)=0

step 2 :-

now add and subtract the square of the half of the value

x^2+(b/a)x+c/a+(b/2a)^2-(b/2a)^2=0

step 3 :-

now make the formula of either (a+b)^2 or (a-b)^2 according to the equation

[x^2+(b/a)^2+(b/a)] - (b/2a)^2+c/a

step 4 :-

after making the formula add the remaining digits and try to write them in the term of their perfect square

[x+(b/a)]^2 +[c/a+(b/2a)^2]

on solving

[x+(b/a)]^2+ [sqrt(c+b^2)/sqrt(2a)]=0

finding rooys of square by firmula method

let us consider a quadratic equation ax^2+bx+c

D=b^2-4ac

x=[-b+sqrt(D)]/2a

and

x=[-b-sqrt(D)]/2a

Hope it helps