Problem

$\sqrt{x+11} \sqrt{x-4}=3$

Answer

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Hide Steps
Answer

\(\boxed{\text{There are no valid solutions for the given equation}}\)

Steps

Step 1 ：Square both sides of the equation: \((\sqrt{x+11} \sqrt{x-4})^2 = 3^2\)

Step 2 ：Simplify the equation: \((x - 4)(x + 11) = 9\)

Step 3 ：Find the solutions: \(x = -\frac{7}{2} + \frac{3\sqrt{29}}{2}\) and \(x = -\frac{3\sqrt{29}}{2} - \frac{7}{2}\)

Step 4 ：Check if the solutions are valid for the original equation with square roots

Step 5 ：\(\boxed{\text{There are no valid solutions for the given equation}}\)

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