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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

The condition that the root of x^3 + 3px^2 + 3qx + r = 0 are in...

The condition that the root of

x^3 + 3px^2 + 3qx + r = 0

are in H.P. is :

Options

A $2p^3 - 3pqr + r^2 = 0$
B $3p^3 - 2pqr + p^2 = 0$
C $2q^3 - 3pqr + r^2 = 0$
D $r^3 - 3pqr + 2q^3 = 0$ .

Correct answer

C. $2q^3 - 3pqr + r^2 = 0$

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