EQUATIONS CONTAINING VARIABLES UNDER ONE OR MORE RADICALS

Note:


Example 2:

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Isolate the radical term.

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Raise both sides of the equation to the power 5.

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Add 8 to both sides of the equation

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The answer is x=1,032




Check the solution by substituting 1,032 in the original equation for x. If the left side of the equation equals the right side of the equation after the substitution, you have found the correct answer.

Since the left side of the original equation equals the right side of the original equation after you substitute 1,032 for x, then 1,032 is a solution.




You can also check your solution by graphing the function

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The above function is formed by subtracting the right side of the original equation from the left side of the original equation. The x-intercept of the graph is the solution to the original equation. As you can see, the x-intercept is 1,032, verifying our solution.


If you would like to review another example, click on Example

If you would like to test yourself by working some problems similar to this example, click on Problem.

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Author:Nancy Marcus

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