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Unformatted text preview: Definition : An extraneous solution is a value that is obtained from solving an equation that does not satisfy the original equation. You have to check that the solutions you get don’t include any numbers that are the restrictions on the rational expressions in the problem. Here’s an example of why you need to check: Math 1300 Section 5.5 Notes Example 2: 6 3 2 6 3 2 x x x =Math 1300 Section 5.5 Notes Examples: 1. 2 5 3 3 6 4 x x + = Math 1300 Section 5.5 Notes 2. 3 4 6 8 1 x + = + Math 1300 Section 5.5 Notes 3. 5 13 1 7 2 14 4 2 x x= + + Math 1300 Section 5.5 Notes 4. 2 3 6 24 4 4 16 x x x=+Math 1300 Section 5.5 Notes 5. 2 3 5 8 x + = Math 1300 Section 5.5 Notes 6. 2 7 6 x x x x= +Math 1300 Section 5.5 Notes 7. 1 1 10 7 ( 2) ( 4) 1 x x= Math 1300 Section 5.5 Notes 8. 2 1 7 49 2 14 7 x x x x=+Math 1300 Section 5.5 Notes 9. 2 x1 – x2 = 1 Math 1300 Section 5.5 Notes 10. 6 9 4 2 1 x x=  ...
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 Spring '08
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 Math, Equations, Fraction, Elementary algebra, Rational function, Equation solving

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