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D( x )
x^2 = 0
x^2 = 0
x^2 = 0
1*x^2 = 0 // : 1
x^2 = 0
x = 0
x in (-oo:0) U (0:+oo)
X^2+3*x-x+14/(x^2)-16 = 0
2*x^1+14*x^-2-16*x^0 = 0
(2*x^3-16*x^2+14*x^0)/(x^2) = 0 // * x^4
x^2*(2*x^3-16*x^2+14*x^0) = 0
x^2
2*x^3-16*x^2+14 = 0
{ 1, -1, 2, -2, 7, -7, 14, -14 }
1
x = 1
2*x^3-16*x^2+14 = 0
1
x-1
2*x^2-14*x-14
2*x^3-16*x^2+14
x-1
2*x^2-2*x^3
14-14*x^2
14*x^2-14*x
14-14*x
14*x-14
0
2*x^2-14*x-14 = 0
DELTA = (-14)^2-(-14*2*4)
DELTA = 308
DELTA > 0
x = (308^(1/2)+14)/(2*2) or x = (14-308^(1/2))/(2*2)
x = (2*77^(1/2)+14)/4 or x = (14-2*77^(1/2))/4
x in { (14-2*77^(1/2))/4, (2*77^(1/2)+14)/4, 1}
x in { (14-2*77^(1/2))/4, (2*77^(1/2)+14)/4, 1 }
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