$\"\"$

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The equation is $\"\"$ .

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(Square each side and eliminate the square roots)

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$\"\"$

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$\"\"$ (Simplify)

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$\"\"$ (Subtract $\"\"$ from each side)

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$\"\"$

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$\"\"$

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$\"\"$

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Apply quadratic formula: $\"\"$ .

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$\"\"$ (Substitute a = 1, b = $\"\"$ 13 and c = 30) \ \

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$\"\"$ (Product of two same signs is positive) \ \

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$\"\"$ (Evaluate powers: $\"\"$ )

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$\"\"$ (Simplify) \ \

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$\"\"$ \ \

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$\"\"$ (Evaluate square roots: $\"\"$ )

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Separate solutions are $\"\"$

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$\"\"$

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$\"\"$ $\"\"$

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Check:

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To check the solution substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$ (Multiply: $\"\"$ )

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$\"\"$ (Subtract: $\"\"$ and $\"\"$ )

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$\"\"$ (Evaluate square roots: $\"\"$ )

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The solution is "True". $\"\"$

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The solution is "True".