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Algebra Level 5

For what values of \(a\) does the equation

\[ \sqrt{x-5} = ax+2 \]

have 2 real solutions?

\[ - \frac{1}{2} < a < \frac{1}{10}, a \neq 0 \] \[ - \frac{1}{2} < a < \frac{1}{10} \] \[ - \frac{1}{2} < a < 0 \] \[ 0 < a < \frac{1}{10} \]

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by Chung Kevin

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