Question

State the nature of roots ,if discrimant is -31 , 40 , 0

Answer 1

Answer:

The discriminant determines the nature of the roots of a quadratic equation. The word 'nature' refers to the types of numbers the roots can be — namely real, rational, irrational or imaginary. ... If Δ≥0, the expression under the square root is non-negative and therefore roots are real.

Answer 2

Answer:

If the discriminant of quadratic equation is positive then the roots are real and they exist.

If the discriminant of quadratic equation is equal to zero then the roots are real and they are equal.

If the discriminant of quadratic equation is negative then the roots are imaginary and they only exist in the complex plane.