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Purely Imaginary

If the roots ...

Question

If the roots of the equation $x^{2} + a^{2} = 8 x + 6 a$ are real, then

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
Since, its roots are real
$∴ 64 - 4 (a^{2} - 6 a) \geq 0$
$\Rightarrow - 2 \leq a \leq 8$
$\Rightarrow a ϵ [- 2, 8]$

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