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

4x^{2} + 4bx - (a^{2} - b^{2}) = 0

4x^{2} + 4bx = (a^{2} - b^{2})

(adding on both sides)

using a^{2} + 2ab + b^{2} = (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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