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

Answer 1
Eva AbramsonEva Abramson

#x = -3#

Cross multiply. #x^2 + x = x^2 -x -6#
Simplify #x = -x - 6# #2x = -6# #x = -3#
Check: #(-3)/(-3+2)# = #(-3 -3)/(-3 +1)#
#(-3)/-1 = (-6)/-2#
#3 = 3#
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Answer 2
Julia AdamsJulia Adams

To solve the rational equation x/(x + 2) = (x - 3)/(x + 1), you can start by cross-multiplying to eliminate the fractions. This gives you x(x + 1) = (x - 3)(x + 2). Expanding both sides of the equation, you get x^2 + x = x^2 - x - 6. Simplifying further, you have x = -6. Therefore, the solution to the rational equation is x = -6.

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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.

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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