Question

Which values of xare solutions to the equation below? Check all that apply. 4x²-30=34 □ A. x= -√√8 B. X= 4 C. X = -8 ☐ D. x = √√√8 E. x = -4 F. x=8​

Answer 1

Starting with the given equation:

4x² - 30 = 34

Adding 30 to both sides:

4x² = 64

Dividing both sides by 4:

x² = 16

Taking the square root of both sides:

x = ±4

Therefore, the solutions to the equation are x = 4 and x = -4.

Checking each option:

A. x = -√√8 is not a solution.

B. x = 4 is a solution.

C. x = -8 is not a solution.

D. x = √√√8 is not a solution.

E. x = -4 is a solution.

F. x = 8 is not a solution.

Therefore, the solutions to the equation are x = 4 and x = -4, which are options B and E.