Question

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

विकल्प

• ${\displaystyle \frac{-b}{2a}}$

• ${\displaystyle \frac{b}{2a}}$

• ${\displaystyle \frac{-b^2}{4a}}$

• ${\displaystyle \frac{b^2}{4a}}$

Answer 1

If the quadratic equation ax² + bx + c = 0 has two real and equal roots, then 'c' is equal to ${\displaystyle \underline{\frac{b^2}{4a}}}$.

Explanation:

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

b² – 4ac = 0

${\displaystyle \Rightarrow }$ b² = 4ac

${\displaystyle \Rightarrow }$ c = ${\displaystyle \frac{b^2}{4a}}$