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MA.912.A.5.5 Solve Rational Equations

MA.912.A.5.5 Solve Rational Equations. 1. Solving Rational Equations. This is a Proportion, cross multiply to solve. When solving a rational equation, you must consider the excluded values because they will make the fraction become undefined. 1. Solving Rational Equations.

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MA.912.A.5.5 Solve Rational Equations

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  1. MA.912.A.5.5Solve Rational Equations

  2. 1. Solving Rational Equations This is a Proportion, cross multiply to solve. When solving a rational equation, you must consider the excluded values because they will make the fraction become undefined.

  3. 1. Solving Rational Equations EXTRANOUS SOLUTION: This solution is included in the excluded values which means that it will make the fraction undefined and therefore, cannot be used as a solution to the equation.

  4. Check x = 3 Check x = -4 Undefined!

  5. 2. Solving Rational Equations Find LCD and subtract. Cross multiply to solve the proportion.

  6. 2. Solving Rational Equations Excluded Value

  7. Check x = -18

  8. 3. Solving Rational Equations LCD Method Multiply both sides of the equation by the LCD of entire equation.

  9. 4. Solving Rational Equations Excluded Value: LCD: (x+1)

  10. 4. Solving Rational Equations Check: Zero in the denominator makes the number undefined, therefore this equation has NO SOLUTION!

  11. 5. Solving Rational Equations Factor: (x+2)(x-2) Excluded Value: LCD: (x + 2)(x - 2)

  12. 5. Solving Rational Equations

  13. 5. Solving Rational Equations

  14. 5. Solving Rational Equations Check:

  15. 5. Solving Rational Equations Check:

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