The value of c for which the equation ax^2 + 2bx + c = 0 has equal roots is A. a^2/4a B. b^2/4a

Question

The value of c for which the equation ax² + 2bx + c = 0 has equal roots is

A. \(\frac{a^2}{4b}\)

B. \(\frac{b^2}{4a}\)

C. \(\frac{a^2}{b}\)

D. \(\frac{a^2}{4b}\)

Answer 1

The equation has equal root which means 

d = 0 

d = b² – 4ac = 0 

Here a = a, b = 2b, c = c 

(2b)² – 4 ac = 0 

b² – ac = 0 

c = \(b^2/a\)