# Solve: {eq}\sqrt {2 x - 1} - \sqrt {x + 3} = 1 {/eq}.

## Question:

Solve: {eq}\sqrt {2 x - 1} - \sqrt {x + 3} = 1 {/eq}.

To solve a radical equation we should isolate the radical expression involving the variable, then we should raise both sides of the equation to the index of the radical.

If there is still a radical equation, we should repeat the previous steps. Otherwise, we should solve the resulting equation and check the answer in the original equation. In particular, if we are dealing with radicals of index two we have restrictions on the variable, since the radicand expression should be not negative.

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In this equation, we have two radicals of index two, therefore we have the following simultaneous restrictions on the variable:

{eq}\displaystyle \...