x+(5/x^2-25)-(x^2/x+5)

preform the indicated operatins and express in simpliest form
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1 Answer

x +5/[(x-5)(x+5)]  - x^2/(x+5)  =0

x(x+5) +5/(x-5) -x^2    =0

-x^2*(x-5) +x*(x-5)(x+5) +5=0

[-x^3 +5x^2] +[x^3-25x] +5=0

(x^3 -x^3) +5x^2 -25x +5=0

or x^2 -5x +1=0

(x-4.7912878)(x-0.2087122)=0
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