How do you solve #x/(x+2)  2/(x2) = (x^2+4)/(x^24)#?
You must make all the fractions equivalent by putting them on an equivalent denominator.
(x + 2)(x  2) is the LCD (Least Common Denominator).
The denominators can now be eliminated.
The equation has no solution since x= 2 sets some of the denominators to 0.
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To solve the equation x/(x+2)  2/(x2) = (x^2+4)/(x^24), we can follow these steps:

Start by finding a common denominator for all the fractions involved. In this case, the common denominator is (x+2)(x2).

Multiply each term by the common denominator to eliminate the fractions. This gives us: x(x2)  2(x+2) = (x^2+4)

Expand and simplify the equation: x^2  2x  2x  4 = x^2 + 4

Combine like terms on both sides of the equation: x^2  4x  4 = x^2 + 4

Subtract x^2 from both sides to eliminate the x^2 terms: 4x  4 = 4

Add 4 to both sides to isolate the x term: 4x = 8

Divide both sides by 4 to solve for x: x = 2
Therefore, the solution to the equation x/(x+2)  2/(x2) = (x^2+4)/(x^24) is x = 2.
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When evaluating a onesided 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 onesided 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 onesided 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 onesided 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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