EQUATIONS CONTAINING VARIABLES UNDER ONE OR MORE RADICALS

Note:


Example 2:

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First make a note of the fact that you cannot take the square root of a negative number. Therefore, tex2html_wrap_inline77 or tex2html_wrap_inline79 .

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

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Square both sides of the equation:

tex2html_wrap_inline83

tex2html_wrap_inline85




Subtract 2x from and add 5 to both sides of the equation.

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Solve using the quadratic formula.

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Simplify.

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There are no real solutions.



You can 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. Since there are no x-intercepts, there is no real solution to the equation.


If you would like to work another example, click on Example.

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

If you would like to go back to the equation table of contents, click on Contents.

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Author: Nancy Marcus

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