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Solving Radical Equations

Solving Radical Equations 1.2 - Solution

arrow_back Return to Solving Radical Equations
a
First we need to undo the radical on the left-hand side by squaring both sides of the equation.
You came to the result In order to check that it is not an extraneous solution we need to test it in the original equation.
The equality holds true, so the equation has the solution
b
Here as well, we start by squaring and then we simplify.
Now we test in the original equation.

does not solve the original equation. We could have expected this from the beginning because the square root of a number can never be negative. Because of this, the equation lacks real solutions.

c
We proceed in the same manner with the last equation.
Next we need to test if is a solution.
Since we arrived at a true statement, we know that is a solution to the equation.