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D( x )
2*x-5 = 0
2*x-5 = 0
2*x-5 = 0
2*x-5 = 0 // + 5
2*x = 5 // : 2
x = 5/2
x in (-oo:5/2) U (5/2:+oo)
(8*x^3-(8*x^2)-(26*x)-10)/(2*x-5) = 0
(8*x^3-8*x^2-26*x-10)/(2*x-5) = 0
8*x^3-8*x^2-26*x-10 = 0
2*(4*x^3-4*x^2-13*x-5) = 0
4*x^3-4*x^2-13*x-5 = 0
{ 1, -1, 5, -5 }
1
x = 1
4*x^3-4*x^2-13*x-5 = -18
1
-1
x = -1
4*x^3-4*x^2-13*x-5 = 0
-1
x+1
4*x^2-8*x-5
4*x^3-4*x^2-13*x-5
x+1
-4*x^3-4*x^2
-8*x^2-13*x-5
8*x^2+8*x
-5*x-5
5*x+5
0
4*x^2-8*x-5 = 0
DELTA = (-8)^2-(-5*4*4)
DELTA = 144
DELTA > 0
x = (144^(1/2)+8)/(2*4) or x = (8-144^(1/2))/(2*4)
x = 5/2 or x = -1/2
x in { -1/2, 5/2, -1}
2*(x+1/2)*(x-5/2)*(x+1) = 0
(2*(x+1/2)*(x-5/2)*(x+1))/(2*x-5) = 0
( x+1/2 )
x+1/2 = 0 // - 1/2
x = -1/2
( x+1 )
x+1 = 0 // - 1
x = -1
( x-5/2 )
x-5/2 = 0 // + 5/2
x = 5/2
x in { 5/2}
x in { -1/2, -1 }
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