Question

If one root of the equations ax² + bx + c = 0 and

bx² + cx + a = 0 (a, b, c Ī R) is common, then the value of

$\left( \frac{a^{3} + b^{3} + c^{3}}{abc} \right)^{3}$is:

• A. 1
• B. 3
• C. 9
• D. 27

Answer 1

Answer: (D)

27

Answer 2

Applying condition for common root, we get

a³ + b³ + c³ = 3abc Ž $\left( \frac{a^{3} + b^{3} + c^{3}}{abc} \right)^{3}$= 27