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Roots of a Quadratic Equation

If α, β are...

Question

If $α, β$ are the roots of $x^{2} - x + 2 = 0$ , then $(α^{2} β + α β^{2})$ is equal to

A

5

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B

3

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C

- 2

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D

2

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Solution

The correct option is D $2$
Given quadratic equation: $x^{2} - x + 2 = 0$
$α + β = - (- 1) = 1$ and $α β = 2$
Now,
$(α^{2} β + α β^{2}) = α β (α + β)$
$= 2 \times 1$
$= 2$
Hence, D is the correct option.

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