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

Name: Solve the equation by the square root property. -\[( 2 x - 3 ) ^ { 2 } = 49\] A) $\{ - 2,5 \}$ B) $\{ - 5,2 \}$ C) $\{ - 4,10 \}$ D) $\{ - 10,4 \}$
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Question

Quizplus · Accepted Answer

First, take the square root of both sides to get $2x - 3 = \pm 7$. Solving the two equations $2x - 3 = 7$ and $2x - 3 = -7$ gives $x = 5$ and $x = -2$, respectively.

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

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