x-1/x-2+2=5/2

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Solution for x-1/x-2+2=5/2 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(1/x)-2+2 = 5/2 // - 5/2

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

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

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

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

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

x^1

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

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

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

DELTA = 41/4

DELTA > 0

x = ((41/4)^(1/2)-(-5/2))/(1*2) or x = (-(-5/2)-(41/4)^(1/2))/(1*2)

x = ((41/4)^(1/2)+5/2)/2 or x = (5/2-(41/4)^(1/2))/2

x in { (5/2-(41/4)^(1/2))/2, ((41/4)^(1/2)+5/2)/2} 

x in { (5/2-(41/4)^(1/2))/2, ((41/4)^(1/2)+5/2)/2 }

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