x-2/x=12/20

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Solution for x-2/x=12/20 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(2/x) = 12/20 // - 12/20

x-(2/x)-(12/20) = 0

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

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

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

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

x^1

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

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

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

DELTA = 209/25

DELTA > 0

x = ((209/25)^(1/2)-(-3/5))/(1*2) or x = (-(-3/5)-(209/25)^(1/2))/(1*2)

x = ((209/25)^(1/2)+3/5)/2 or x = (3/5-(209/25)^(1/2))/2

x in { (3/5-(209/25)^(1/2))/2, ((209/25)^(1/2)+3/5)/2} 

x in { (3/5-(209/25)^(1/2))/2, ((209/25)^(1/2)+3/5)/2 }

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