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Question

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

x2-4x+1=0

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Solution

x2-4x+1=0x2-4x=-1x2-2×x×2+22=-1+22 Adding 22 on both sidesx-22=-1+4=3
x-2=±3 Taking square root on both sidesx-2=3 or x-2=-3x=2+3 or x=2-3
Hence, 2+3 and 2-3 are the roots of the given equation.

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