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Question

Question: If the quadratic equations ax<sup>2</sup> +2cx + b = 0 and ax<sup>2</sup> + 2bx + c = 0 have a commo...

If the quadratic equations ax2 +2cx + b = 0 and ax2 + 2bx + c = 0 have a common root then a + 4b + 4c is equal to

A

–2

B

–1

C

0

D

1

Answer

0

Explanation

Solution

aa2 + 2ca + b = 0

aa2 + 2ba + c = 0

on subtracting a = 12\frac{1}{2}Ž a4\frac{a}{4}+ c + b = 0

a + 4b + 4c = 0