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Quantitative Aptitude

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If α and β ar...

Question

If $α$ and $β$ are the roots of $x^{2} - a x + b^{2} = 0$ , then $α^{2} + β^{2}$ is equal to __________.

A

$a^{2} - 2 b^{2}$

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B

$2 a^{2} - b^{2}$

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C

$a^{2} - b^{2}$

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D

$a^{2} + b^{2}$

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Solution

The correct option is A
$a^{2} - 2 b^{2}$

$α^{2} + β^{2} (α + β)^{2} - 2 α β$

$= a^{2} - 2 b^{2}$

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