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Higher Order Equations

If α and β ar...

Question

If $α$ and $β$ are the roots of the equation $x^{2} + 3 x + 5 = 0$ , then $α^{2} + β^{2}$ is

A

1

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B

-1

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C

2

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D

-2

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Solution

The correct option is B
-1

$α + β$ = $- 3, α β$ = $5 \Rightarrow α^{2} + β^{2}$ = $(α + β)^{2}$ $- 2 α β$ = $9 - 10 = - 1$

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