EQUATIONS CONTAINING VARIABLES UNDER ONE OR MORE RADICALS




Note::

Example 2: tex2html_wrap_inline113

First make note of the fact that you cannot take the square root of a negative number. Therefore, tex2html_wrap_inline115

5x=6

tex2html_wrap_inline131

The answer is tex2html_wrap_inline133

Check the solution by substituting tex2html_wrap_inline135 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.

Left side: tex2html_wrap_inline139

Right side: You can also check the answer by graphing. <

tex2html_wrap_inline141

(the left side of the original equation minus the right side of the

original equation). The solution will be the x-intercept. The x-intercept

(and hence the solution) on the graph is tex2html_wrap_inline143

If you would like to work another problem, click

here.

If you would like to test yourself by working some problems similar to

this example, clicks here.

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

contents.




[Algebra] [Trigonometry]
[Geometry] [Differential Equations]
[Calculus] [Complex Variables] [Matrix]

S.O.S. MATHematics home page

Do you need more help? Please post your question on our S.O.S. Mathematics CyberBoard.

Author: Nancy Marcus

Copyright © 1999-2024 MathMedics, LLC. All rights reserved.
Contact us
Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA
users online during the last hour