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Question

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

A
1
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B
1
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C
0
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D
2
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Solution

The correct option is A 1
Sum of the roots a+b=1 ...(1)
Product of the roots ab=1 ...(2)
We know that,
(a+b)2=a2+b2+2ab
a2+b2=(a+b)22ab
Substituting (1) and (2) in the above equation, we get
a2+b2=(1)22(1)
a2+b2=1

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