EQUATIONS CONTAINING VARIABLES UNDER ONE OR MORE RADICALS

Note:


Problem 2.3a:

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Answer: There is no solution.

Solution:

First make a note of the fact that you cannot take the square root of a negative number. Therefore, tex2html_wrap_inline81 .



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:

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Subtract 3x from and add 11 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 is no real 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. Since there are no x-intercepts, there is no real solution to the equation.


If you would like to review the answer and solution to problem 2.3b, click on Solution.

If you would like to go back to the problem page, 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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