1-1/x-5=1/x+5

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1-1/x-5=1/x+5
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1-1/x-5=1/x+5
1-1/x-5=1/x+5

1-1/x-5=1/x+5
1=1/(x-5) + 1/(x+5)
(x-5)(x+5)=(x+5)+(x-5)
x^2-25=2*x
x^2-2*x+25=0
x1=2+(4+4*25)*1/2,
x2=2-(4+4*25)*1/2,

两边同乘(x+5)(x-5),
得(x+5)(x-5)-(x+5)=x-5,
化简,得x

式=(x-6)/(x-5)=1/(x+5)
(x-6)(x+5)=x-5
x^2-2x-25=0
x1=2+(4+4*25)^1/2,
x2=2-(4+4*25)^1/2,