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D( x )
x = 0
x^2 = 0
x = 0
x = 0
x^2 = 0
x^2 = 0
1*x^2 = 0 // : 1
x^2 = 0
x = 0
x in (-oo:0) U (0:+oo)
3/x-(7*x)+x/(x^2)-5+10 = 0
3/x-7*x+x/(x^2)-5+10 = 0
4*x^-1-7*x^1+5*x^0 = 0
(5*x^1-7*x^2+4*x^0)/(x^1) = 0 // * x^2
x^1*(5*x^1-7*x^2+4*x^0) = 0
x^1
5*x-7*x^2+4 = 0
5*x-7*x^2+4 = 0
DELTA = 5^2-(-7*4*4)
DELTA = 137
DELTA > 0
x = (137^(1/2)-5)/(-7*2) or x = (-137^(1/2)-5)/(-7*2)
x = (137^(1/2)-5)/(-14) or x = (137^(1/2)+5)/14
x in { (137^(1/2)-5)/(-14), (137^(1/2)+5)/14}
x in { (137^(1/2)-5)/(-14), (137^(1/2)+5)/14 }
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