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

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

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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