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Black Advanced Problems in Mathematics

Exam: Black Advanced Problems in Mathematics
Subject: Mathematics
Chapter: Quadratic Equation

Black Advanced Problems in Mathematics · Mathematics · Quadratic Equation

If the equation ax^2 + 2bx + c = 0 and ax^2 + 2cx + b = 0, a ≠ 0, b...

If the equation

ax^2 + 2bx + c = 0

and

ax^2 + 2cx + b = 0, a \ne 0, b \ne c

, have a common root, then their other roots are the roots of the quadratic equation:

Options

A $a^2x(x+1) + 4bc = 0$
B $a^2x(x+1) + 8bc = 0$
C $a^2x(x+2) + 8bc = 0$
D $a^2x(1+2x) + 8bc = 0$ .

Correct answer

D. $a^2x(1+2x) + 8bc = 0$ .

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