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arrow_back Solve the equation \(\sqrt{x+18}=x-2\)

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Solve the equation \(\sqrt{x+18}=x-2\)

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Best answer
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Best answer

Answer:

\(x=7 \quad\) or \(\quad x \neq-2\)

 

Explanation:

\(\sqrt{x+18}=x-2\)
\(x+18=x^{2}-4 x+4\)
\(0=x^{2}-5 x-14\)
\((x-7)(x+2)=0\)
\(x=7 \quad\) or \(\quad x \neq-2\)

by Gold Status
(30,543 points)

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