### Home > AC > Chapter 10 > Lesson 10.2.4 > Problem10-84

10-84.

How many solutions does each quadratic equation below have?

1. $6x^2+7x-20=0$

Factor the equation.

Since the two factors are not equal, there are two solutions.

1. $m^2-8m+16=0$

Factor the equation.

Since the two factors are equal, there is one solution.

1. $2r^2+r+3=0$

This quadratic cannot be factored. Use the Quadratic Formula to deterine how many solutions this equation has.

If he number under the square root is greater than $0$, then there are two solutions. If the number under the square root is equal to $0$, then there is only one solution.

1. $\left(2k+1\right)^2=0$

Refer to parts (a) and (b).