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Complex Numbers

If equation a...

Question

If equation $a x^{2} + 2 c x + b = 0$ and $a x^{2} + 2 b x + c = 0$ have one root in common, then a + 4b + 4c equals

A

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B

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C

-2

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D

1

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Solution

The correct option is A
0

$\frac{a}{4} + 2 c \times \frac{1}{2} + b = 0$

$\Rightarrow a + 4 b + 4 c = 0$

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