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Question

Find the roots of the following quadratic equations (if they exist) by the method of completing the square.
x2 – 8x + 18 = 0

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Solution

Given: x2 – 8x + 18 = 0

x2-8x+18=0Adding and subtracting 12×82, we getx2-8x+18+42-42=0x2-8x+16+18-16=0x-42+2=0x-42=-2x-4=±-2But, -2 is not a real number.

Hence, the roots of the quadratic equation doesn't exist.

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