Solve.
-$\sqrt { x + 191 } - 5 = \sqrt { x + 76 }$
A) $\varnothing$
B) 6
C) $- 5$
D) 5

Name: Solve. -$\sqrt { x + 191 } - 5 = \sqrt { x + 76 }$ A) $\varnothing$ B) 6 C) $- 5$ D) 5
Brand: Quizplus
Rating: 4.8 (38 reviews)

Question

Quizplus · Accepted Answer

Squaring both sides of the equation gives $x + 191 - 10\sqrt { x + 191 } + 25 = x + 76$. Simplifying, we get $- 10\sqrt { x + 191 } = - 90$, so $\sqrt { x + 191 } = 9$. Squaring again, we get $x + 191 = 81$, so $x = - 110$.

Solve - x+191−5=x+76\sqrt { x + 191 } - 5 = \sqrt { x + 76 }x+191​−5=x+76​

Solve
- $\sqrt { x + 191 } - 5 = \sqrt { x + 76 }$