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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