Use the square root property to solve the equation.
-$( x + 3 ) ^ { 2 } = 10$
A) $3 - \sqrt { 10 } , 3 + \sqrt { 10 }$
B) 7
C) $- \sqrt { 10 } , \sqrt { 10 }$
D) $- 3 - \sqrt { 10 } , - 3 + \sqrt { 10 }$

Question

Quizplus · Accepted Answer

The square root property states that if $ (x + 3)^2 = 10 $, then $ x + 3 = \pm \sqrt{10} $. Solving for $ x $, we get $ x = -3 \pm \sqrt{10} $, which corresponds to choice D.

Use the Square Root Property to Solve the Equation (x+3)2=10( x + 3 ) ^ { 2 } = 10(x+3)2=10

Use the Square Root Property to Solve the Equation $( x + 3 ) ^ { 2 } = 10$