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Question

Find the sum and product of roots of the polynomial 2x2+x5=0.

A
12,52
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B
2, 5
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C
12,52
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D
12,52
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Solution

The correct option is C 12,52
We know that, for a quadratic equation ax2+bx+c=0,Sum of roots = α+βand product of roots = αβwhere α and β are the roots of theequation.

Also, α+β=ba and αβ=ca

On comparing 2x2+x5=0 with standard form of quadratic equation ax2+bx+c=0, we get a=2,b=1,c=5

α+β=ba=12

αβ=ca=52

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