Question

PLEASE HELP!!!! Solve for the variable. Show all work.
x2 - 33 = -1

Answer 1

x = 4√2 or x = −4√2

Explanation:

Step 1: Add 33 to both sides.

x2 − 33 + 33 = −1 + 33

x2 = 32

Step 2: Take square root.

x = ±√32

x = 4√2 or x = −4√2

Answer 2

x = 4√2

Explanation:

x² - 33 = -1 [ change sides ]

x² = -1 + 33

x² = 32

x = √3 [changing sides, changes power of square, (²) turns square root,√ ]

x = √4 * 4 * 2

x = 4√2 .......final answer.