Solve.
-$$\sqrt { x } + 1 = \sqrt { x + 11 }$$
A) $x = 25$
B) $x = 100$
C) $x = 5$
D) $\varnothing$

Name: Solve. -\[\sqrt { x } + 1 = \sqrt { x + 11 }\] A) $x = 25$ B) $x = 100$ C) $x = 5$ D) $\varnothing$
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Question

Quizplus · Accepted Answer

Squaring both sides of the equation $\sqrt { x } + 1 = \sqrt { x + 11 }$ gives $x + 2\sqrt{x} + 1 = x + 11$. Simplifying, we get $2\sqrt{x} = 10$, and further solving gives $\sqrt{x} = 5$, which means $x = 25$.

Solve - x+1=x+11\sqrt { x } + 1 = \sqrt { x + 11 }x​+1=x+11​

Solve
- $\sqrt { x } + 1 = \sqrt { x + 11 }$