SOLUTION: What is the answer to the following equation: 3/x^2-1/x+5

Question 167290: What is the answer to the following equation: 3/x^2-1/x+5
Answer by midwood_trail(310) (Show Source): You can put this solution on YOUR website!
3/x^2-1/x+5
I understand your question as the following subtraction problem:
(3/x^2) MINUS (1/x + 5)
The denominators are different.
We need the LCD, right?
Our LCD is (x^2)TIMES (x + 5) written simply as (x^2)(x+5).
We now apply the rules of subtraction of fractions with unlike denominators.
In the numerator, we get this over the LCD:
[3(x+5) - (x^2)]/(x^2)(x+5)
We can simplify the numerator a bit more by using the distributive rule to remove the parentheses 3(x+5).
This will leave us with:
(3x + 15 - x^2)/(x^2)(x+5)
Did you follow?

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