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D( x )
x-8 = 0
x-8 = 0
x-8 = 0
x-8 = 0 // + 8
x = 8
x in (-oo:8) U (8:+oo)
(2*x^3-(15*x^2)-(10*x)+16)/(x-8) = 0
(2*x^3-15*x^2-10*x+16)/(x-8) = 0
2*x^3-15*x^2-10*x+16 = 0
2*x^3-15*x^2-10*x+16 = 0
{ 1, -1, 2, -2, 4, -4, 8, -8, 16, -16 }
1
x = 1
2*x^3-15*x^2-10*x+16 = -7
1
-1
x = -1
2*x^3-15*x^2-10*x+16 = 9
-1
2
x = 2
2*x^3-15*x^2-10*x+16 = -48
2
-2
x = -2
2*x^3-15*x^2-10*x+16 = -40
-2
4
x = 4
2*x^3-15*x^2-10*x+16 = -136
4
-4
x = -4
2*x^3-15*x^2-10*x+16 = -312
-4
8
x = 8
2*x^3-15*x^2-10*x+16 = 0
8
x-8
2*x^2+x-2
2*x^3-15*x^2-10*x+16
x-8
16*x^2-2*x^3
x^2-10*x+16
8*x-x^2
16-2*x
2*x-16
0
2*x^2+x-2 = 0
DELTA = 1^2-(-2*2*4)
DELTA = 17
DELTA > 0
x = (17^(1/2)-1)/(2*2) or x = (-17^(1/2)-1)/(2*2)
x = (17^(1/2)-1)/4 or x = (-(17^(1/2)+1))/4
x in { (-(17^(1/2)+1))/4, (17^(1/2)-1)/4, 8}
(x+(17^(1/2)+1)/4)*(x-((17^(1/2)-1)/4))*(x-8) = 0
(x+(17^(1/2)+1)/4)*(x-((17^(1/2)-1)/4)) = 0
( x+(17^(1/2)+1)/4 )
x+(17^(1/2)+1)/4 = 0 // - (17^(1/2)+1)/4
x = -((17^(1/2)+1)/4)
( x-((17^(1/2)-1)/4) )
x-((17^(1/2)-1)/4) = 0 // + (17^(1/2)-1)/4
x = (17^(1/2)-1)/4
x in { -((17^(1/2)+1)/4), (17^(1/2)-1)/4 }
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