To solve this equation take the square root of each side.
-2 and 1
Practice makes perfect
Notice that on the left hand side of the given equation we have a perfect square trinomial. To solve a quadratic equation in the form x^2=n, we will take the square root of each side. For any number n≥ 0, if x^2=n then x=±sqrt(n). Keeping this in mind, let's consider the given equation.
We can simplify this result into two separate roots.
c=- 1 ±3/2
c_1=- 1-3/2
c_2=- 1+3/2
c_1=- 4/2
c_2=2/2
c_1=- 2
c_2=1
We found that the solutions to the given equation are - 2 and 1. To check our answer, we will graph the related function y=4c^2+4c-8 using a calculator. Note that in the calculator we will use the variable x instead of c.
We can see that the x-intercepts are - 2 and 1. Therefore, our solutions are correct.
