Question

When solving using the quadratic formula, what does the discriminant tell you about the nature of the roots?

Answer 1

The discriminate is the part under the square root of the formula and gives you the amount of solutions

If the discriminate is positive there are 2 solutions, if it is 0 there is a single solution and if it is negative then there is no solution (in the real numbers), because the root is not defined for negative numbers