EQUATIONS CONTAINING VARIABLES UNDER ONE OR MORE RADICALS

Note:


Example 2:
tex2html_wrap_inline100



First make a note of the fact that you cannot take the square root of a negative number. Therefore, tex2html_wrap_inline102 tex2html_wrap_inline104 tex2html_wrap_inline106 tex2html_wrap_inline104 tex2html_wrap_inline110



Square both sides of the equation.

displaymath92

displaymath93




Subtract 9 from both sides of the equation

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Divide both sides of the equation by 2.

displaymath95

The answer is x = 8.



Check the solution by substituting 8 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.


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Author:Nancy Marcus

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