Use the square root property to solve the equation.
-$( x - 6 ) ^ { 2 } = 49$
A) $13 , - 1$
B) $7 , - 7$
C) $- 1 , - 13$
D) 55

Question

Quizplus · Accepted Answer

The square root property states that if $(x - a)^2 = b$, then $x - a = \sqrt{b}$ or $x - a = -\sqrt{b}$. Applying this to the given equation, we have $x - 6 = \sqrt{49}$ or $x - 6 = -\sqrt{49}$, which simplifies to $x = 6 + 7$ or $x = 6 - 7$, giving $x = 13$ or $x = -1$.

Use the Square Root Property to Solve the Equation (x−6)2=49( x - 6 ) ^ { 2 } = 49(x−6)2=49

Use the Square Root Property to Solve the Equation $( x - 6 ) ^ { 2 } = 49$