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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
x/5-(8/x) = 3/5 // - 3/5
x/5-(8/x)-(3/5) = 0
x/5-8*x^-1-3/5 = 0
1/5*x^1-8*x^-1-3/5*x^0 = 0
(1/5*x^2-3/5*x^1-8*x^0)/(x^1) = 0 // * x^2
x^1*(1/5*x^2-3/5*x^1-8*x^0) = 0
x^1
(1/5)*x^2+(-3/5)*x-8 = 0
(1/5)*x^2+(-3/5)*x-8 = 0
DELTA = (-3/5)^2-(-8*4*(1/5))
DELTA = 169/25
DELTA > 0
x = ((169/25)^(1/2)-(-3/5))/(2*(1/5)) or x = (-(-3/5)-(169/25)^(1/2))/(2*(1/5))
x = 8 or x = -5
x in { -5, 8}
x in { -5, 8 }
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