Solve the equation by the square root property.
-$$( x - 4 ) ^ { 2 } = 4$$
A) $\{ 2,6 \}$
B) $\{ - 2 , - 6 \}$
C) $\{ 6 \}$
D) $\{ 0 \}$

Name: Solve the equation by the square root property. -\[( x - 4 ) ^ { 2 } = 4\] A) $\{ 2,6 \}$ B) $\{ - 2 , - 6 \}$ C) $\{ 6 \}$ D) $\{ 0 \}$
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Question

Quizplus · Accepted Answer

Taking the square root of both sides of the equation $(x - 4)^2 = 4$ gives $x - 4 = \pm 2$. Solving for $x$ gives $x = 4 \pm 2$, which results in the solutions $x = 6$ and $x = 2$, thus the correct answer is $\{2, 6\}$.

Solve the Equation by the Square Root Property (x−4)2=4( x - 4 ) ^ { 2 } = 4(x−4)2=4

Solve the Equation by the Square Root Property $( x - 4 ) ^ { 2 } = 4$