Solve the equation using the square root property.
-$$( x - 2 ) ^ { 2 } = 49$$
A) $\{ 9 , - 5 \}$
B) $\{ - 5 , - 9 \}$
C) $\{ 51 \}$
D) $\{ 7 , - 7 \}$

Question

Quizplus · Accepted Answer

To solve the equation using the square root property, take the square root of both sides: $\sqrt{(x - 2)^2} = \sqrt{49}$, which simplifies to $x - 2 = \pm 7$. Solving for $x$ gives $x = 9$ and $x = -5$, hence the solution set is $\{9, -5\}$.

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

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