Solve the equation.
-$\sqrt { x } + 3 = \sqrt { x + 21 }$

Name: Solve the equation. -$\sqrt { x } + 3 = \sqrt { x + 21 }$
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Question

Quizplus · Accepted Answer

Squaring both sides of the equation $\sqrt { x } + 3 = \sqrt { x + 21 }$ gives $x + 6\sqrt{x} + 9 = x + 21$. Simplifying, we get $6\sqrt{x} = 12$, and further simplifying gives $\sqrt{x} = 2$. Squaring both sides of this equation gives $x = 4$, which is a valid solution when substituted back into the original equation.

Solve the Equation x+3=x+21\sqrt { x } + 3 = \sqrt { x + 21 }x​+3=x+21​

Solve the Equation $\sqrt { x } + 3 = \sqrt { x + 21 }$