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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
4*x-(7/x)-2 = 3-x-(1/2) // - 3-x-(1/2)
4*x+x-(7/x)+1/2-3-2 = 0
4*x+x-7*x^-1+1/2-3-2 = 0
5*x^1-7*x^-1-9/2*x^0 = 0
(5*x^2-9/2*x^1-7*x^0)/(x^1) = 0 // * x^2
x^1*(5*x^2-9/2*x^1-7*x^0) = 0
x^1
5*x^2+(-9/2)*x-7 = 0
5*x^2+(-9/2)*x-7 = 0
DELTA = (-9/2)^2-(-7*4*5)
DELTA = 641/4
DELTA > 0
x = ((641/4)^(1/2)-(-9/2))/(2*5) or x = (-(-9/2)-(641/4)^(1/2))/(2*5)
x = ((641/4)^(1/2)+9/2)/10 or x = (9/2-(641/4)^(1/2))/10
x in { (9/2-(641/4)^(1/2))/10, ((641/4)^(1/2)+9/2)/10}
x in { (9/2-(641/4)^(1/2))/10, ((641/4)^(1/2)+9/2)/10 }
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