# 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 $$\sqrt{x+5} + \sqrt{x-2} = \sqrt{5x-6}$$ .