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Solving Radical Equations in One Variable

Solving Radical Equations in One Variable

Objectives:

Solve square root equations in one variable algebraically.

Solve radical equations in one variable algebraically.

Solve equations containing variable expressions with rational exponents algebraically.

Solving Square Root Equations

Principle of Powers: If a = b then a = b.

Example:

Note: Always check your answers with the original equation if the exponent is even in order to determine which solutions are possible.

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Attention: We are currently running a special promotional offer for algebra-helper.com Visitors -- if you order Algebrator by midnight of March 17th you will pay only $39.99 instead of our regular price of $74.99 -- this is $35.00 in savings ! In order to take advantage of this offer, you need to order by clicking on one of the buttons on the left, not through our regular order page.

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Just take a look how incredibly simple Algebrator is:

Step 1 : Enter your homework problem in an easy WYSIWYG (What you see is what you get) algebra editor:

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Algebrator can solve problems in all the following areas:

  • simplification of algebraic expressions (operations with polynomials (simplifying, degree, synthetic division...), exponential expressions, fractions and roots (radicals), absolute values)
  • factoring and expanding expressions
  • finding LCM and GCF
  • operations with complex numbers (simplifying, rationalizing complex denominators...)
  • solving linear, quadratic and many other equations and inequalities (including basic logarithmic and exponential equations)
  • solving a system of two and three linear equations (including Cramer's rule)
  • graphing curves (lines, parabolas, hyperbolas, circles, ellipses, equation and inequality solutions)
  • graphing general functions
  • operations with functions (composition, inverse, range, domain...)
  • simplifying logarithms
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  • arithmetic and other pre-algebra topics (ratios, proportions, measurements...)

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2007-11-20 08:49:30