EQUATIONS CONTAINING VARIABLES UNDER ONE OR MORE RADICALS

Note:


Problem2.6d:

tex2html_wrap_inline57


Answer: 1,364

Solution:

Rewrite the radical terms as exponential terms.

eqnarray14




Raise both sides of the equation to the power 12 and simplify.

eqnarray20




The answer is 1,364.




Check the solution by substituting 1,364 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.

Since the left side of the original equation equals the right side of the original equation after we substituted 1,364 for x, then x=1,364 is a solution.




You can also check the answer by graphing the equation:

tex2html_wrap_inline63

The graph represents the right side of the original equation minus the left side of the original equation. Since there is one x-intercept at 1,364, the solution is 1,364.


If you would like to return to the problem page, click on Problem.

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 Algebra]

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 1999-2017 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