Question

If the equation ax² + 2x + a = 0 has two distinct roots, if 

Options

• a = ±1

• a = 0

• a = 0, 1

• a = −1, 0

Answer 1

a = ±1

Explanation:

If the roots of given equation are distinct then

d = b² – 4ac = 0 

⇒ d = b² – 4ac = 0

⇒ 22 – 4(a) (a) = 0

⇒ 4 – 4a² = 0

⇒ 4a² = 4

⇒ a² = 1

⇒ a = ±1