Question

If the roots of the quadratic equation x² + 12x + a = 0 are real and equal, then find the value of a.

Answer 1

Equation given is, x² + 12x + a = 0

As a result of the quadratic equation's real and equal roots,

∴ Discriminant, D = 0

⇒ B² – 4AC = 0

⇒ (12)² – 4 × 1 × a = 0

⇒ 4a = 144

⇒ a = 36

As a result, a has a value of 36.