x-5/x=-3

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


D( x )

x = 0

x = 0

x = 0

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

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

x-(5/x)+3 = 0

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

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

(1*x^2+3*x^1-5*x^0)/(x^1) = 0 // * x^2

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

x^1

x^2+3*x-5 = 0

x^2+3*x-5 = 0

DELTA = 3^2-(-5*1*4)

DELTA = 29

DELTA > 0

x = (29^(1/2)-3)/(1*2) or x = (-29^(1/2)-3)/(1*2)

x = (29^(1/2)-3)/2 or x = (-(29^(1/2)+3))/2

x in { (-(29^(1/2)+3))/2, (29^(1/2)-3)/2} 

x in { (-(29^(1/2)+3))/2, (29^(1/2)-3)/2 }

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