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How do you solve # 3 / (x - 1) + 1 / (x(x - 1)) = 2 / x#?

Answer 1

Julia Adams

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Answer 2

Kennedy Adams

To solve the equation 3 / (x - 1) + 1 / (x(x - 1)) = 2 / x, we can follow these steps:

Find a common denominator for all the fractions involved. In this case, the common denominator is x(x - 1).
Multiply each term by the common denominator to eliminate the fractions.
Simplify the equation by distributing and combining like terms.
Rearrange the equation to isolate the variable.
Solve for x by applying the appropriate algebraic operations.

The solution to the equation is x = 2 or x = -1.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.