Q. 124.3( 9 Votes )

Solve each of the following equations by using the method of completing the square:

4x2 + 4bx - (a2 - b2) = 0

Answer :

4x2 + 4bx = (a2 - b2)

(adding on both sides)

using a2 + 2ab + b2 = (a + b)2

(taking square root on both sides)

2x + b = - a or 2x + b = a

Hence the roots of equation are

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