Quadratic Equations in Square Roots

For solving Quadratic Equations in Square Roots, it is required to square both sides entirely, but not individually. For instance,
$$ (1 + 2)^2 = 3^2 \\
1^2 + 2^2 \ne 3^2 $$
It is important to check the solutions to see they work for the original equation, if the original equation is squared.

Worked Examples of Quadratic Equations in Square Roots

Solve \( \sqrt{x+5} + \sqrt{x-2} = \sqrt{5x-6} \) .


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