Rational Equations.

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Presentation transcript:

Rational Equations

To Solve a Rational Equation 1. Factor ALL denominators completely

To Solve a Rational Equation 1. Factor ALL denominators completely 2. Get LCD on BOTH sides of the equation

To Solve a Rational Equation 1. Factor ALL denominators completely 2. Get LCD on BOTH sides of the equation 3. Change any numerators

To Solve a Rational Equation 1. Factor ALL denominators completely 2. Get LCD on BOTH sides of the equation 3. Change any numerators 4. Ignore denominators and solve the equation formed by numerators

Examples 1. 1 2 + 𝑥 5 = 1 9

Examples 2. 2 𝑥+3 + 3 2 =10

Examples 3. 5 24 + 2 𝑥−3 = 1 4

Examples 4. 𝑝 2 −𝑝+1 𝑝+1 = 𝑝 2 −7 𝑝 2 −1 +𝑝

Examples 5. 2𝑥 𝑥+5 − 𝑥 2 −𝑥−10 𝑥 2 +8𝑥+15 = 3 𝑥+3

Examples 6. 7𝑛 3𝑛+3 − 5 4𝑛−4 = 3𝑛 2𝑛+2

Homework Packet Pages 18-19