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Question

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

3x2-2x-1=0

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Solution

3x2-2x-1=09x2-6x-3=0 Multiplying both sides by 39x2-6x=33x2-2×3x×1+12=3+12 Adding 12 on both sides
3x-12=3+1=4=223x-1=±2 Taking square root on both sides3x-1=2 or 3x-1=-23x=3 or 3x=-1
x=1 or x=-13
Hence, 1 and -13 are the roots of the given equation.

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