How do you solve #x^2/(x^24) = x/(x+2)2/(2x)#?
There is no solution.
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To solve the equation x^2/(x^24) = x/(x+2)  2/(2x), we can follow these steps:

Start by finding a common denominator for the fractions on the right side of the equation. The common denominator is (x+2)(2x).

Rewrite the fractions on the right side with the common denominator: x/(x+2) = x(2x)/[(x+2)(2x)] 2/(2x) = 2(x+2)/[(x+2)(2x)]

Simplify the fractions on the right side: x/(x+2) = (2xx^2)/[(x+2)(2x)] 2/(2x) = 2(x+2)/[(x+2)(2x)]

Combine the fractions on the right side: (2xx^2)/[(x+2)(2x)]  2(x+2)/[(x+2)(2x)]

Now, we can eliminate the denominators by multiplying both sides of the equation by [(x+2)(2x)]: x^2  2x  x^2  4x  4 = 2x  x^2  4x  8

Simplify the equation: 6x  4 = 2x  8

Combine like terms: 6x + 2x = 8 + 4 4x = 4

Divide both sides by 4: x = 1
Therefore, the solution to the equation x^2/(x^24) = x/(x+2)  2/(2x) is x = 1.
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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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