Radical equationsextraneous solutionsequations with radicalsWe review the history and previous literature on radical equations and present the rigorous solution theory for radical equations of depth 2, continuing a previous study of radical equations of depth 1. Radical equations of depth 2 are equations...
Radical Equations with Two Radical Terms What if the equation has more than one radical term? If that is the only thing it has, two terms, each under a radical sign, then you just need to square both of them and then solve. sqrt(5x + 3) = sqrt(3x + 7) Square both sides. ...
A General Note: Radical Equations An equation containing terms with a variable in the radicand is called aradical equation. How To: Given a radical equation, solve it. Isolate the radical expression on one side of the equal sign. Put all remaining terms on the other side. ...
equationwithtworadicals? Whatisanextraneoussolution?Whatisanextraneoussolution? Ex:Solveforx.Ex:Solveforx. 3 x 2 2 3 x 9 x **Usethisideatosolvetheradicalequations.**Usethisideatosolvetheradicalequations. *** Don’tforgettoDon’tforgetto checkyourcheckyour solutions!!solutions!! Ex:Solvefory....
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Solving Radical Equations Lesson 7.6 Vocabulary Extraneous Solution: a solution of a transformed equation that is not a valid solution of the original equation. Example 1: Solving a Simple Radical Equation A) B) C) 3 4 3 x 5 7 3 x 0 5 4 x Example 2: Solving an Equation with Rational...
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Solving Equations Involving Radicals : 1. the term with a variable in the radicand on one side of the sign. 2. Raise. Radical Equations: KEY IDEAS An equation that has a radical with a variable under the radicand is called a radical equation. The only restriction on to. ...