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Question

If a, b are the roots of the equation x2+x+1=0, then a2+b2=


A

1

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B

2

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C

-1

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D

3

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Solution

The correct option is C

-1


Given equation:x2+x+1=0Also, a and b are the roots of the given equationSum of the roots=a+b=coefficient of xcoefficientofx2=11=1Product of the roots ab=coefficient termcoefficientofx2=11=1(a+b)2=a2+b2+2ab12=a2+b2a2+b2=1


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