Question

If a, b, c ∈ R and 1 is a root of equation ax² + bx + c = 0, then equation 4ax² + 3bx + 2c = 0, c ≠ 0 has

• A. Imaginary roots
• B. Real and equal roots
• C. Real and unequal roots
• D. Rational roots

Answer 1

Answer: (C)

Real and unequal roots

Answer 2

Since '1' is a root Ž a + b + c = 0

for 4ax² + 3bx + 2c = 0 D = 9b² – 32ac

= c² $\left\lbrack 9\left( \frac{a}{c} \right)^{2} - 14\frac{a}{c} + 9 \right\rbrack$ > 0