Solve.
-$\sqrt { x } - 1 = \sqrt { x - 7 }$
A) $- 16$
B) $\varnothing$
C) 4
D) 16

Name: Solve. -$\sqrt { x } - 1 = \sqrt { x - 7 }$ A) $- 16$ B) $\varnothing$ C) 4 D) 16
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Question

Quizplus · Accepted Answer

Squaring both sides of the equation $\sqrt{x} - 1 = \sqrt{x - 7}$ gives $x - 2\sqrt{x} + 1 = x - 7$. Simplifying, we get $-2\sqrt{x} = -8$, so $\sqrt{x} = 4$. Squaring again gives $x = 16$.

Solve - x−1=x−7\sqrt { x } - 1 = \sqrt { x - 7 }x​−1=x−7​

Solve
- $\sqrt { x } - 1 = \sqrt { x - 7 }$