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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-4)*(x-4))/(x^2)-(3*x)-15 = 0
((x-4)*(x-4))/(x^2)-3*x-15 = 0
((x-4)^2)/(x^2)-3*x-15 = 0
((x-4)^2)/(x^2)+(-3*x*x^2)/(x^2)+(-15*x^2)/(x^2) = 0
(x-4)^2-3*x*x^2-15*x^2 = 0
x^2-3*x^3-15*x^2-8*x+16 = 0
16-3*x^3-14*x^2-8*x = 0
16-3*x^3-14*x^2-8*x = 0
16-3*x^3-14*x^2-8*x = 0
{ 1, -1, 2, -2, 4, -4, 8, -8, 16, -16 }
1
x = 1
16-3*x^3-14*x^2-8*x = -9
1
-1
x = -1
16-3*x^3-14*x^2-8*x = 13
-1
2
x = 2
16-3*x^3-14*x^2-8*x = -80
2
-2
x = -2
16-3*x^3-14*x^2-8*x = 0
-2
x+2
8-3*x^2-8*x
16-3*x^3-14*x^2-8*x
x+2
3*x^3+6*x^2
16-8*x^2-8*x
8*x^2+16*x
8*x+16
-8*x-16
0
8-3*x^2-8*x = 0
DELTA = (-8)^2-(-3*4*8)
DELTA = 160
DELTA > 0
x = (160^(1/2)+8)/(-3*2) or x = (8-160^(1/2))/(-3*2)
x = (4*10^(1/2)+8)/(-6) or x = (8-4*10^(1/2))/(-6)
x in { (4*10^(1/2)+8)/(-6), (8-4*10^(1/2))/(-6), -2}
(x-((4*10^(1/2)+8)/(-6)))*(x-((8-4*10^(1/2))/(-6)))*(x+2) = 0
((x-((4*10^(1/2)+8)/(-6)))*(x-((8-4*10^(1/2))/(-6)))*(x+2))/(x^2) = 0
((x-((4*10^(1/2)+8)/(-6)))*(x-((8-4*10^(1/2))/(-6)))*(x+2))/(x^2) = 0 // * x^2
(x-((4*10^(1/2)+8)/(-6)))*(x-((8-4*10^(1/2))/(-6)))*(x+2) = 0
( x+2 )
x+2 = 0 // - 2
x = -2
( x-((4*10^(1/2)+8)/(-6)) )
x-((4*10^(1/2)+8)/(-6)) = 0 // + (4*10^(1/2)+8)/(-6)
x = (4*10^(1/2)+8)/(-6)
( x-((8-4*10^(1/2))/(-6)) )
x-((8-4*10^(1/2))/(-6)) = 0 // + (8-4*10^(1/2))/(-6)
x = (8-4*10^(1/2))/(-6)
x in { -2, (4*10^(1/2)+8)/(-6), (8-4*10^(1/2))/(-6) }
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