# How do you solve rational equations #[(x+2) / (x-1)] = [1/2]#?

distribute the brackets.

We now want to have the x terms on the left of the equation and numeric values on the right.

subtract x from both sides.

subtract 4 from both sides.

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To solve the rational equation [(x+2) / (x-1)] = [1/2], you can start by cross-multiplying to eliminate the fractions. This gives you (x+2) * 2 = (x-1) * 1. Simplifying this equation, you get 2x + 4 = x - 1. Next, you can combine like terms by subtracting x from both sides, resulting in x + 4 = -1. Finally, you can isolate x by subtracting 4 from both sides, giving you x = -5. Therefore, the solution to the rational equation is x = -5.

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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.

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.

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.

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