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

Refer to exlpanation

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To solve the equation (x-2)/3 = 1/x, we can start by cross-multiplying to eliminate the fractions. This gives us (x-2)x = 3(1). Expanding the equation, we have x^2 - 2x = 3. Rearranging the equation, we get x^2 - 2x - 3 = 0. To solve this quadratic equation, we can factor it as (x-3)(x+1) = 0. Setting each factor equal to zero, we have x-3 = 0 or x+1 = 0. Solving for x, we find x = 3 or x = -1. Therefore, the solutions to the equation are x = 3 and x = -1.

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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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