Solve the equation using the square root property.
-$$( 2 x - 3 ) ^ { 2 } - 49 = 0$$
A) $\{ 10 , - 4 \}$
B) $\{ 4 , - 10 \}$
C) $\{ 5 , - 2 \}$
D) $\{ 2 , - 5 \}$

Question

Quizplus · Accepted Answer

First, add 49 to both sides to get $(2x - 3)^2 = 49$. Then take the square root of both sides to get $2x - 3 = \pm 7$. Solving $2x - 3 = 7$ gives $x = 5$, and solving $2x - 3 = -7$ gives $x = -2$. Thus, the solution set is $\{5, -2\}$.

Solve the Equation Using the Square Root Property (2x−3)2−49=0( 2 x - 3 ) ^ { 2 } - 49 = 0(2x−3)2−49=0

Solve the Equation Using the Square Root Property $( 2 x - 3 ) ^ { 2 } - 49 = 0$