Question

You can use the _______ of a quadratic equation to determine the number and type of solutions

Answer 1

Answer: Discriminant.

Explanation:

1. The quadratic formula is:

`x=\frac{-b+/-\sqrt{b^(2)-4ac}}{2a}`

2. And the discriminant is inside the square root:

`b^(2)-4ac`

2. Then, if the discriminant is negative, the quadratic equation does not have real solutions, it has two imaginary solutions. If the discriminant is zero the quadratic has one solution. If the discriminant is positive, the quadratic equation has two distinct solutions.