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solving rational function step by step ​

Sagot :

Solution:Step

1: Factor all denominators and determine the LCD.

2: Identify the restrictions.

Step 3: Multiply both sides of the equation by the LCD.

4: Solve the resulting equation.

Step 5: Check for extraneous solutions.

or

Find the common denominator.

Multiply everything by the common denominator.

Simplify.

Check the answer(s) to make sure there isn't an extraneous solution.

Step-by-step explanation:

EXAMPLE

[tex]3 \times ( \frac{5}{ \times } - \frac{1}{3}) \\ 3 \times \frac{5}{ \times } - 3 \times \frac{1}{3} = 3 \times \frac{1}{ \times } \\ 5 - \times = 3 \\ - \times = - 12 \\ \times = 12[/tex]

Solution:

Step 1: Factor all denominators and determine the LCD.

Step 2: Identify the restrictions. In this case, they are x≠−2 x ≠ − 2 and x≠−3 x ≠ − 3 .

step 3: Multiply both sides of the equation by the LCD. ...

Step 4: Solve the resulting equation. ...

Step 5: Check for extraneous solutions.