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Find all the solutions to
 

x+4/x+5 = x-5/2x

 Mar 15, 2021
 #1
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The only solution is x = -13/10.

 Mar 15, 2021
 #2
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+1

Hint:

\(x+\frac{4}{x}+5=x-\frac{5}{2}x\)

\(\frac{4}{x}+\frac{5}{2}x=-5\)

 Mar 15, 2021
 #3
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0

Hint: Cross multiply, expand, then solve the quadratic

 Mar 17, 2021

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