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D( x )
x-4 = 0
x-4 = 0
x-4 = 0
x-4 = 0 // + 4
x = 4
x in (-oo:4) U (4:+oo)
(2*x^3-(7*x^2)-(8*x)+16)/(x-4) = 0
(2*x^3-7*x^2-8*x+16)/(x-4) = 0
2*x^3-7*x^2-8*x+16 = 0
2*x^3-7*x^2-8*x+16 = 0
{ 1, -1, 2, -2, 4, -4, 8, -8, 16, -16 }
1
x = 1
2*x^3-7*x^2-8*x+16 = 3
1
-1
x = -1
2*x^3-7*x^2-8*x+16 = 15
-1
2
x = 2
2*x^3-7*x^2-8*x+16 = -12
2
-2
x = -2
2*x^3-7*x^2-8*x+16 = -12
-2
4
x = 4
2*x^3-7*x^2-8*x+16 = 0
4
x-4
2*x^2+x-4
2*x^3-7*x^2-8*x+16
x-4
8*x^2-2*x^3
x^2-8*x+16
4*x-x^2
16-4*x
4*x-16
0
2*x^2+x-4 = 0
DELTA = 1^2-(-4*2*4)
DELTA = 33
DELTA > 0
x = (33^(1/2)-1)/(2*2) or x = (-33^(1/2)-1)/(2*2)
x = (33^(1/2)-1)/4 or x = (-(33^(1/2)+1))/4
x in { (-(33^(1/2)+1))/4, (33^(1/2)-1)/4, 4}
(x+(33^(1/2)+1)/4)*(x-((33^(1/2)-1)/4))*(x-4) = 0
(x+(33^(1/2)+1)/4)*(x-((33^(1/2)-1)/4)) = 0
( x+(33^(1/2)+1)/4 )
x+(33^(1/2)+1)/4 = 0 // - (33^(1/2)+1)/4
x = -((33^(1/2)+1)/4)
( x-((33^(1/2)-1)/4) )
x-((33^(1/2)-1)/4) = 0 // + (33^(1/2)-1)/4
x = (33^(1/2)-1)/4
x in { -((33^(1/2)+1)/4), (33^(1/2)-1)/4 }
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