Question

Solve the equation. Round answers to the nearest tenth when necessary.

(x-4)^2=24

A. -0.9, -8.9
B. -0.9, 8.9
C. 0.9, 8.9
D. 0.9, -8.9

Answer 1

x = 2V6 + 4 or x =-2V6 + 4

Answer 2

B. -0.9, 8.9

Explanation:

The value(s) of the variable can be found by undoing the operations done to it.

__

Undo the square by taking the square root:

x -4 = ±√24 = ±2√6

Undo the subtraction by adding 4:

x = 4 ±2√6 ≈ {-0.8990, 8.8990} . . . keep enough digits to round correctly

The approximate solutions are ...

-0.9, 8.9