What are the solutions to the quadratic equation 4x2 = 64? x = −16 and x = 16 x = −8 and x = 8 x = −4 and x = 4 x = −2 and x = 2

x = −4 and x = 4

Step-by-step explanation:

4x² = 64

Lets get x² on its own. To do this we divide each sides by 4:

x² = 16

Now to get just x, we need to square root this

√x² = √16

x = √16

x = 4

But this can be ±4 as it -4 and 4 squared both give 16.

So your answer is x = −4 and x = 4