Question

If the quadratic equation ax² + bx + c = 0 has two real and equal roots, then 'c' is equal to ______.

Options

• `(-b)/(2a)`

• `b/(2a)`

• `(-b^2)/(4a)`

• `b^2/(4a)`

Answer 1

If the quadratic equation ax² + bx + c = 0 has two real and equal roots, then 'c' is equal to `underlinebb(b^2/(4a))`.

Explanation:

If the quadratic equation ax² + bx + c = 0 has two real and equal roots, then

b² – 4ac = 0

`\implies` b² = 4ac

`\implies` c = `b^2/(4a)`