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I don't know what to do here:

 

Find the sum of all numbers x satisfying x + 25/x = 10 + x.  Please expain carefully.

 Nov 27, 2022
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\(x + \frac{25}{x} = 10 + x\) and to find the sun of all number x satisfying this equation.

Okay! So first we simplify both sides by subtracting x. We get \(\frac{25}{x} = 10\) so we see that there is only one solution to this equation! we get \(x=2.5\) so the answer is 2.5. Hope I didn't make any mistakes.

Hope this helps,

     Imcool

 Nov 27, 2022

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