Compute the value of the discriminant and give the number of real solutions of the quadratic equation. -5x^2+8x-3=0

Answer 1

The discriminant is b^2-4ac, so it is equal to 8^2-4(-5)(-3)=4

If the discriminant is greater than 0, there are two real solutions.

If the discriminant is equal to 0, there is one real solutions.

If the discriminant is less than 0, there are two imaginary solutions.

Our discriminant is greater than 0, so there are two real solutions.