How do you solve the rational equation #x / (x+1 ) - 1/x = 1#?

Answer 1

Julia Adams

#x= -1/2#

#x/(x+1)-1/x=1 or (x^2-(x+1))/(x*(x+1))=1 or x^2-x-1=x^2+x or -x-1=xor 2x= -1 orx=-1/2#[Ans]

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Answer 2

Julia Adams

To solve the rational equation x / (x+1) - 1/x = 1, you can follow these steps:

Find a common denominator for the fractions on both sides of the equation. In this case, the common denominator is (x+1)x.
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 x.
Solve for x by applying the appropriate algebraic operations.

The solution to the equation will be the value(s) of x that satisfy the equation after simplification and solving.

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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.