EQUATIONS CONTAINING VARIABLES UNDER ONE OR MORE RADICALS

Note:


Problem2.6b:

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Answer: 79

Solution:

First make a note of the fact that you cannot take the even root of a negative number. Therefore, tex2html_wrap_inline35




Subtract 9 from both sides of the equation so that the radical term is isolated.

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Raise both sides of the equation to the fourth power.

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You can check the solution by substituting the value 79 in the original equation. If, after the substitution, the left side of the original equation equals the right side of the original equation, 79 is the verified solution.




You can also check the answer by graphing the equation:

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The graph represents the right side of the original equation minus the left side of the original equation. From the graph you can see that there is one x-intercept located at 79. This verifies that 79 is the solution.


If you would like to review the solution for problem 2.4c, click on Solution.

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Author:Nancy Marcus

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