How do you solve #4 / (x+1) + 3 /( x - 4) = 2 /( x +1)#?
After cross-multiplying the denominator and expanding the numerator, we obtain
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To solve the equation 4 / (x+1) + 3 /( x - 4) = 2 /( x +1), we can start by finding a common denominator for all the fractions. The common denominator in this case is (x+1)(x-4).
Multiplying each term by the common denominator, we get: 4(x-4) + 3(x+1) = 2(x-4)
Expanding and simplifying the equation, we have: 4x - 16 + 3x + 3 = 2x - 8
Combining like terms, we get: 7x - 13 = 2x - 8
Moving all the x terms to one side and the constant terms to the other side, we have: 7x - 2x = -8 + 13
Simplifying further, we get: 5x = 5
Dividing both sides by 5, we find: x = 1
Therefore, the solution to the equation is 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.
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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