How to Solve a Rational Equation example 2

1
How to Solve a Rational Equation example 2

• Consider the Problem.
• Factor the denominators not the numerators.
• State the LCD and restrictions.
• Clear the denominators.
• Distribute.
• Solve.
• Check solution in the original problem.
• State your conclusion.

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2
Warning
To succeed at solving these problems, you must be
able to solve problems on your own. This
means a.) No notes. b.) No calculator. c.) No
tutor or friend. To accomplish this, you must be
able to perform each step prior to seeing it
carried out. So, after you think you understand
the process, try another problem. Rather than
looking at this example to direct you, look at it
to check your progress and understanding. Good
luck and enjoy some fun problems.
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Step 1
Consider the problem.
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Step 2
Factor the denominators not the numerators.
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Step 3
State the LCD and restrictions.
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Step 4
Clear the denominators.
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Step 5
Distribute.
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Step 6
Solve.
x ?3 or x 1
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Step 7
Check your solutions in the original equation.
But this gives places a 0 in the denominator
and so it is false. Oh yes, x 1 was a value we
ruled out with our restrictions.
True
False
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Step 8
State your conclusion.
The solution to the problem below is
Note Checking your restrictions can save some
time while still ensuring an accurate check
provided your algebra is right.
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