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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
5/x-(3*x)-7 = -(1/2) // + 1/2
5/x-(3*x)+1/2-7 = 0
5/x-3*x+1/2-7 = 0
5*x^-1-3*x^1-13/2*x^0 = 0
(5*x^0-3*x^2-13/2*x^1)/(x^1) = 0 // * x^2
x^1*(5*x^0-3*x^2-13/2*x^1) = 0
x^1
(-13/2)*x-3*x^2+5 = 0
(-13/2)*x-3*x^2+5 = 0
DELTA = (-13/2)^2-(-3*4*5)
DELTA = 409/4
DELTA > 0
x = ((409/4)^(1/2)-(-13/2))/(-3*2) or x = (-(-13/2)-(409/4)^(1/2))/(-3*2)
x = ((409/4)^(1/2)+13/2)/(-6) or x = (13/2-(409/4)^(1/2))/(-6)
x in { ((409/4)^(1/2)+13/2)/(-6), (13/2-(409/4)^(1/2))/(-6)}
x in { ((409/4)^(1/2)+13/2)/(-6), (13/2-(409/4)^(1/2))/(-6) }
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