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

Question

Philoid · Accepted Answer

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

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