Solve the equation by the square root property.
-$( 2 x - 5 ) ^ { 2 } = 49$
A) $\{ - 1,6 \}$
B) $\{ - 6,1 \}$
C) $\{ - 12,2 \}$
D) $\{ - 2,12 \}$

Question

Quizplus · Accepted Answer

First, solve the equation $(2x - 5)^2 = 49$ by taking the square root of both sides, which gives $2x - 5 = \pm7$. Solving for $x$ in both cases ($2x - 5 = 7$ and $2x - 5 = -7$) yields $x = 6$ and $x = -1$, respectively.

Solve the Equation by the Square Root Property (2x−5)2=49( 2 x - 5 ) ^ { 2 } = 49(2x−5)2=49

Solve the Equation by the Square Root Property $( 2 x - 5 ) ^ { 2 } = 49$