7/x-5+2=x+2/x-5

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Solution for 7/x-5+2=x+2/x-5 equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

7/x-5+2 = x+2/x-5 // - x+2/x-5

7/x-x-(2/x)-5+2+5 = 0

7/x-x-2*x^-1-5+2+5 = 0

5*x^-1-1*x^1+2*x^0 = 0

(2*x^1-1*x^2+5*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^1-1*x^2+5*x^0) = 0

x^1

2*x-x^2+5 = 0

2*x-x^2+5 = 0

DELTA = 2^2-(-1*4*5)

DELTA = 24

DELTA > 0

x = (24^(1/2)-2)/(-1*2) or x = (-24^(1/2)-2)/(-1*2)

x = (2*6^(1/2)-2)/(-2) or x = (-2*6^(1/2)-2)/(-2)

x in { (2*6^(1/2)-2)/(-2), (-2*6^(1/2)-2)/(-2)} 

x in { (2*6^(1/2)-2)/(-2), (-2*6^(1/2)-2)/(-2) }

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