Solving Equations Containing Rational Expressions 7.6 Solving Equations Containing Rational Expressions 1. Solve equations containing rational expressions.

Solve: LCD = 24 24 4 1 6 3 24

LCD = 4x Solve: Restriction: x ≠ 0 Linear Variables to one side

Solve: LCD: R: y ≠ -3, y ≠ 1, y ≠ -2

LCD: Solve: R: y ≠ -3, y ≠ 1, y ≠ -2 Quadratic Set =0

LCD: Solve: R: y ≠ -3, y ≠ 1, y ≠ -2

Solve: or Φ Extraneous Solution LCD: R: a ≠ 1, a ≠ -1 Linear Variables to one side or Φ Extraneous Solution

Extraneous Solution: An apparent solution that does not solve its equation.

LCD: Solve: R: y ≠ 2, y ≠ -2 Linear Variables to one side

This could also have been worked as a proportion. LCD: Solve: R: y ≠ 2, y ≠ -2 This could also have been worked as a proportion. Quadratic Set = 0 Extraneous Solution

LCD: Solve: R: x ≠ 3, x ≠ -3 Quadratic Set = 0 Extraneous Solution

Copyright © 2011 Pearson Education, Inc. Solve. a) 2 b) 5 c) 7 d) 10 Copyright © 2011 Pearson Education, Inc. 7.6

Copyright © 2011 Pearson Education, Inc. Solve. a) 2 b) 5 c) 7 d) 10 Copyright © 2011 Pearson Education, Inc. 7.6

Copyright © 2011 Pearson Education, Inc. Solve. a) 2 b) 1 c) 2 and 5 d) 3 and 4 Copyright © 2011 Pearson Education, Inc. 7.6

Copyright © 2011 Pearson Education, Inc. Solve. a) 2 b) 1 c) 2 and 5 d) 3 and 4 Copyright © 2011 Pearson Education, Inc. 7.6