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4. checking for possible extraneous roots since the derived equation may not be equivalent to the original equation. The graphing calculator is a wonderful back-up checking tool to solving such equations.
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mathbits.com/mathbits/tisection/Algebra2/rationalequati...
mathbits.com/mathbits/tisection/Algebra2/rationalequations.htm
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It is possible to raise both sides of an equation to an odd power and to extract the odd degree root from both sides of an equation. It is necessary to remember that: a) raising to an even power can result in acquisition of extraneous roots;
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www.bymath.com/studyguide/alg/sec/alg12.html
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My question is when, where and why do we use the principle square root, not both + and -? This often occurs as the extraneous root in the solution of radical equations and in stating the domain and range of functions involving square roots.
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mathcentral.uregina.ca/QQ/database/QQ.09.96/varjassy2.h...
mathcentral.uregina.ca/QQ/database/QQ.09.96/varjassy2.html
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Why does raising an equation to an even power introduce an extraneous root? ... I looked in a couple algebra books and they said that raising an equation to an even power sometimes gives an extraneous root. That still doesn't explain WHY.
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mathforum.org/dr.math/problems/duff.9.9.96.html
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Official campaign website of Wayne Allyn Root, Libertarian nominee for Vice President. ... By Wayne Allyn Root, Author; The Conscience of a Libertarian: Empowering the Citizen Revolution with God, Guns, Gambling & Tax Cuts; The national unemployment rate hit 10.2% today. What ; Click Here to read the rest.......
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www.rootforamerica.com/
www.rootforamerica.com/
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absolute-value A positive number that has the same magnitude as a given number. ... absolute-value function A positive number that has the same magnitude as a given number: f (x) = |x | ... extraneous root A number obtained when solving an equation, which is not a root of the equation to be solved.
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www.bced.gov.bc.ca/irp/mathk7/appfa_e.htm
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ROOT - An Object Oriented Framework For Large Scale Data Analysis. ... class TClass: public TDictionary ... Function Members (Methods)
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root.cern.ch/root/html/TClass.html
root.cern.ch/root/html/TClass.html
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ROOT - An Object Oriented Framework For Large Scale Data Analysis. ... By default ROOT creates a default style that can be accessed via the gStyle pointer. This class includes functions to set the following object attributes. - Canvas - Pad - Histogram axis - Lines - Fill areas - Text - Markers - Functions - Histogram...
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root.cern.ch/root/html/TStyle.html
root.cern.ch/root/html/TStyle.html
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extraneous roots Number Theory ... I attempted to answer the question myself by reversing the above process and putting 1 in for x at each step to see when the equation becomes "invalid" for the extraneous root. equation A; equation B; Putting 1 in for x in equation A works but B does not.
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www.physicsforums.com/showthread.php?t=226349
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