The equation 6x +8 = 10% 8 has the solution set {4}. Part A: Explain why the equation (6x + 8) + 2 = (10x8) + 2
also has the solution set {4}.
Part B: When we square both sides of the original equation, we get the following
new equation: (6x + 8)?
(10x – 8)2 . Show that {4} is still a
solution to the new equation.
Part C: Show that {0} is also a solution to the new equation,
(6x + 8)
(10x 8)2, but is not a solution to the original equation,
= 10%
6х +8
8.
Part D: Write a sentence that describes how the solution set to an equation may
change when both sides of the equation are squared.