Question

To verify if a quadratic equation has equal roots, we prove the discrimant to be equal to zero. So how do we prove if a quadratic equation has no real roots?

Answer 1

Dear student ,

A positive discriminant indicates that the quadratic has two distinct real number solutions.

A discriminant of zero indicates that the quadratic has a equal real number solution.

A negative discriminant indicates that neither of the solutions are real numbers.

therefore when discriminant is negative quadratic equation has no real roots.

i hope you understand..