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Solving Radical Equations

Solving Radical Equations 1.13 - Solution

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a

We square both sides to solve for

To be sure that the root is not false, we test it by substituting for in the original equation.
The equality holds true, so solves the equation.
b
We start by isolating on one side. After that we square both sides of the equation.
Now we need to test the solution.
The equality holds true, so is a solution of the original equation.
c
We proceed in the same manner and square both sides.
Now we need to test the solution.
The equality does not hold true. Thus, what we found was an extraneous solution and the equation does not have any real solution.