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Math 71 6.6 – Rational Equations 1

Math 71 6.6 – Rational Equations 1. A rational equation is an equation that has one or more rational expressions in it. To solve, we start by multiplying

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Page 1: Math 71 6.6 – Rational Equations 1. A rational equation is an equation that has one or more rational expressions in it. To solve, we start by multiplying

1

Math 71

6.6 – Rational Equations

Page 2: Math 71 6.6 – Rational Equations 1. A rational equation is an equation that has one or more rational expressions in it. To solve, we start by multiplying

2

A rational equation is an equation that has one or more rational expressions in it.

To solve, we start by multiplying both sides of the equation by the _______, which will clear fractions. Note: Always check your solutions when solving rational equations. (Why? Because multiplying by the LCD might introduce extra solutions that don’t solve the original equation.)

ex:

Page 3: Math 71 6.6 – Rational Equations 1. A rational equation is an equation that has one or more rational expressions in it. To solve, we start by multiplying

3

A rational equation is an equation that has one or more rational expressions in it.

To solve, we start by multiplying both sides of the equation by the _______, which will clear fractions. Note: Always check your solutions when solving rational equations. (Why? Because multiplying by the LCD might introduce extra solutions that don’t solve the original equation.)

ex:

Page 4: Math 71 6.6 – Rational Equations 1. A rational equation is an equation that has one or more rational expressions in it. To solve, we start by multiplying

4

A rational equation is an equation that has one or more rational expressions in it.

To solve, we start by multiplying both sides of the equation by the _______, which will clear fractions. Note: Always check your solutions when solving rational equations. (Why? Because multiplying by the LCD might introduce extra solutions that don’t solve the original equation.)

LCD

ex:

Page 5: Math 71 6.6 – Rational Equations 1. A rational equation is an equation that has one or more rational expressions in it. To solve, we start by multiplying

5

A rational equation is an equation that has one or more rational expressions in it.

To solve, we start by multiplying both sides of the equation by the _______, which will clear fractions. Note: Always check your solutions when solving rational equations. (Why? Because multiplying by the LCD might introduce extra solutions that don’t solve the original equation.)

LCD

ex:

Page 6: Math 71 6.6 – Rational Equations 1. A rational equation is an equation that has one or more rational expressions in it. To solve, we start by multiplying

6

A rational equation is an equation that has one or more rational expressions in it.

To solve, we start by multiplying both sides of the equation by the _______, which will clear fractions. Note: Always check your solutions when solving rational equations. (Why? Because multiplying by the LCD might introduce extra solutions that don’t solve the original equation.)

LCD

ex:

Page 7: Math 71 6.6 – Rational Equations 1. A rational equation is an equation that has one or more rational expressions in it. To solve, we start by multiplying

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Ex 1.Solve:

Ex 2.Solve: Ex 3.Solve: Ex 4.Solve: