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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
3*x-(5/x) = 31 // - 31
3*x-(5/x)-31 = 0
3*x-5*x^-1-31 = 0
3*x^1-5*x^-1-31*x^0 = 0
(3*x^2-31*x^1-5*x^0)/(x^1) = 0 // * x^2
x^1*(3*x^2-31*x^1-5*x^0) = 0
x^1
3*x^2-31*x-5 = 0
3*x^2-31*x-5 = 0
DELTA = (-31)^2-(-5*3*4)
DELTA = 1021
DELTA > 0
x = (1021^(1/2)+31)/(2*3) or x = (31-1021^(1/2))/(2*3)
x = (1021^(1/2)+31)/6 or x = (31-1021^(1/2))/6
x in { (31-1021^(1/2))/6, (1021^(1/2)+31)/6}
x in { (31-1021^(1/2))/6, (1021^(1/2)+31)/6 }
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