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Solve each of the following equations by using the method of completing the square:
3x2 - 2x - 1 = 0
Given: 3x2 - 2x - 1 = 0
9x2 - 6x = 3 (multiplying both sides by 3)
(adding
on both sides)
using a2 - 2ab + b2 = (a - b)2
(taking square root on both sides)
3x - 1 = 2 or 3x - 1 = - 2
3x = 3 or 3x = - 1
Hence the roots of equation are