Question

The value of c for which the equation ax² + 2bx + c = 0 has equal roots is
A. a²/4b
B. b²/4a
C. a²/b
D.a²/4b

Answer 1

The value of c for which the equation ax² + 2bx + c = 0 has equal roots is C. a²/b

Answer 2

B. b²/4a

Step-by-step explanation:

For ax² + 2bx + c = 0  to have equal roots, discriminant should be zero.

d =  b² - 4ac  

b² - 4ac = 0

b² = 4ac

c = b²/4a

Option B is the answer.