2/x-x=5

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Solution for 2/x-x=5 equation: 


D( x )

x = 0

x = 0

x = 0

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

2/x-x = 5 // - 5

2/x-x-5 = 0

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

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

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

x^1

2-x^2-5*x = 0

2-x^2-5*x = 0

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

DELTA = 33

DELTA > 0

x = (33^(1/2)+5)/(-1*2) or x = (5-33^(1/2))/(-1*2)

x = (33^(1/2)+5)/(-2) or x = (5-33^(1/2))/(-2)

x in { (33^(1/2)+5)/(-2), (5-33^(1/2))/(-2)} 

x in { (33^(1/2)+5)/(-2), (5-33^(1/2))/(-2) }

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