Question

If the discriminant of the quadratic equation $a{x}^2+bx+c$ is zero, then its roots will be

• A. real and equal
• B. real and unequal
• C. imaginary
• D. zero

Answer 1

The correct option is A real and equal

The roots of a quadratic function are given by $x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$D=b^2-4ac$ is called the discriminant

As $D=0$

$x=\frac{-b}{2a}$ is the only root

Hence, the roots of the equation are real and equal when discriminant is zero.