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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
5*x-(3/x) = 2-(x/x)+7 // - 2-(x/x)+7
5*x-(3/x)+x/x-7-2 = 0
5*x-3*x^-1+x/x-7-2 = 0
5*x^1-3*x^-1-8*x^0 = 0
(5*x^2-8*x^1-3*x^0)/(x^1) = 0 // * x^2
x^1*(5*x^2-8*x^1-3*x^0) = 0
x^1
5*x^2-8*x-3 = 0
5*x^2-8*x-3 = 0
DELTA = (-8)^2-(-3*4*5)
DELTA = 124
DELTA > 0
x = (124^(1/2)+8)/(2*5) or x = (8-124^(1/2))/(2*5)
x = (2*31^(1/2)+8)/10 or x = (8-2*31^(1/2))/10
x in { (8-2*31^(1/2))/10, (2*31^(1/2)+8)/10}
x in { (8-2*31^(1/2))/10, (2*31^(1/2)+8)/10 }
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