**Note:
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**In order to solve for***x*, you must isolate*x*.**In order to isolate***x*, you must remove it from under the radical.**If there is just one radical in the equation, isolate the radical.****Then raise both sides of the equation to a power equal to the index of the radical.****With these types of equations, sometimes there are extraneous solutions; therefore, you must check your answers.****If the index of the radical is even, many times there will be a restriction on the values of***x*.

**Answer:** *x*=3.46939

**Solution:**

First make a note of the fact that you cannot take the square root of
a negative number. Therefore, .

Subtract 5 from both sides of the equation so that the radical term is
isolated.

Square both sides of the equation and simplify:

Subtract 100*x*+25 from both sides of the equation.

Solve using factoring:

or

The answers are

Check the solution *x*=0 by substituting 0 for *x* in the
original equation. If after the substitution, the left side of the
original equation equals the right side of the original equation,
0 is a solution.

- Left Side:
- Right Side: (0)=0

Since the left side of the original equation does not equal the right
side of the original equation after 0 was substituted for *x*,
*x*=0 is not a valid solution.

Check the solution *x*=3.46939 by
substituting 3.46939 for *x* in the original equation. If
after the substitution, the left side of the original equation equals
the right side of the original equation, 3.46939 is a solution.

- Left Side:
- Right Side: (3.46939) = 24.28572

Since the left side of the original equation equals the right
side of the original equation after 3.46939 was substituted for *x*,
then *x*=3.46939 is a valid solution.

You can check the answer by graphing the equation:

The graph represents the right side of the original equation minus the
left side of the original equation. You can see that there is one
x-intercept, at *x*=3.46939. This means that there is one solution
*x*=3.45939.

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