x-5-2/x=-3

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Solution for x-5-2/x=-3 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(2/x)-5 = -3 // + 3

x-(2/x)-5+3 = 0

x-2*x^-1-5+3 = 0

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

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

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

x^1

x^2-2*x-2 = 0

x^2-2*x-2 = 0

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

DELTA = 12

DELTA > 0

x = (12^(1/2)+2)/(1*2) or x = (2-12^(1/2))/(1*2)

x = (2*3^(1/2)+2)/2 or x = (2-2*3^(1/2))/2

x in { (2-2*3^(1/2))/2, (2*3^(1/2)+2)/2} 

x in { (2-2*3^(1/2))/2, (2*3^(1/2)+2)/2 }

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