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D( x )
x-1 = 0
x-1 = 0
x-1 = 0
x-1 = 0 // + 1
x = 1
x in (-oo:1) U (1:+oo)
(16*x^3-(16*x^2)-(9*x)+9)/(x-1) = 0
(16*x^3-16*x^2-9*x+9)/(x-1) = 0
16*x^3-16*x^2-9*x+9 = 0
16*x^3-16*x^2-9*x+9 = 0
{ 1, -1, 3, -3, 9, -9 }
1
x = 1
16*x^3-16*x^2-9*x+9 = 0
1
x-1
16*x^2-9
16*x^3-16*x^2-9*x+9
x-1
16*x^2-16*x^3
9-9*x
9*x-9
0
16*x^2-9 = 0
DELTA = 0^2-(-9*4*16)
DELTA = 576
DELTA > 0
x = (576^(1/2)+0)/(2*16) or x = (0-576^(1/2))/(2*16)
x = 3/4 or x = -3/4
x in { -3/4, 3/4, 1}
(x+3/4)*(x-3/4)*(x-1) = 0
(x+3/4)*(x-3/4) = 0
( x+3/4 )
x+3/4 = 0 // - 3/4
x = -3/4
( x-3/4 )
x-3/4 = 0 // + 3/4
x = 3/4
x in { -3/4, 3/4 }
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