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Question

The two equations x3+1=0 and ax2+bx+c=0, a,b,cR have two roots in common. Then a+b is equal to

A
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B
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C
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D
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Solution

The correct option is B 0
x3+1=0(x+1)(x2x+1)=0
x2x+1=0 has non-real roots as Δ<0

We know that, for a quadratic equation with real coefficients, imaginary roots always occur in conjugate pair.
x2x+1=0 and ax2+bx+c=0 have both roots in common.
1a=1b=1c
a+b=0

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