Question

A student is attempting to solve the equation below for the variable x. Which of the statements below best applies to the

mathematical work shown?
Given
4-6 = 12, 1 square both sides, so
W41 - 6 = 12', or 4x - 6 = 144. I can then solve for x, yielding x = 37
as
my final answer
A. The student did not correctly square both sides of the equation.
B. The student did not properly isolate the variable after squaring both sides of the equation.
C. The student omitted a negative solution to the equation.
D. The mathematical work is correct.

Answer 1

B is the right answer

Explanation:

The student did not properly isolate the variable after squaring both sides of the equation.

Squaring both the sides means

(4 - 6)² = 12²

(-2)² = 144

4 ≠ 144

So we cannot write the equation like 4 x - 6 =144