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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)
(x^3+2*x^2-(7*x)+4)/(x-1) = 0
(x^3+2*x^2-7*x+4)/(x-1) = 0
x^3+2*x^2-7*x+4 = 0
x^3+2*x^2-7*x+4 = 0
{ 1, -1, 2, -2, 4, -4 }
1
x = 1
x^3+2*x^2-7*x+4 = 0
1
x-1
x^2+3*x-4
x^3+2*x^2-7*x+4
x-1
x^2-x^3
3*x^2-7*x+4
3*x-3*x^2
4-4*x
4*x-4
0
x^2+3*x-4 = 0
DELTA = 3^2-(-4*1*4)
DELTA = 25
DELTA > 0
x = (25^(1/2)-3)/(1*2) or x = (-25^(1/2)-3)/(1*2)
x = 1 or x = -4
x in { -4, 1, 1}
(x+4)*(x-1)^2 = 0
(x+4)*(x-1) = 0
( x+4 )
x+4 = 0 // - 4
x = -4
( x-1 )
x-1 = 0 // + 1
x = 1
x in { 1}
x = -4
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