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D( x )
x^3-(2*x^2)-x+2 = 0
x^3-(2*x^2)-x+2 = 0
x^3-(2*x^2)-x+2 = 0
x^3-2*x^2-x+2 = 0
x^3-2*x^2-x+2 = 0
{ 1, -1, 2, -2 }
1
x = 1
x^3-2*x^2-x+2 = 0
1
x-1
x^2-x-2
x^3-2*x^2-x+2
x-1
x^2-x^3
2-x^2-x
x^2-x
2-2*x
2*x-2
0
x^2-x-2 = 0
DELTA = (-1)^2-(-2*1*4)
DELTA = 9
DELTA > 0
x = (9^(1/2)+1)/(1*2) or x = (1-9^(1/2))/(1*2)
x = 2 or x = -1
x in { -1, 2, 1}
x in (-oo:-1) U (-1:1) U (1:2) U (2:+oo)
(x^2+10*x-15)/(x^3-(2*x^2)-x+2) = 0
(x^2+10*x-15)/(x^3-2*x^2-x+2) = 0
x^2+10*x-15 = 0
x^2+10*x-15 = 0
DELTA = 10^2-(-15*1*4)
DELTA = 160
DELTA > 0
x = (160^(1/2)-10)/(1*2) or x = (-160^(1/2)-10)/(1*2)
x = (4*10^(1/2)-10)/2 or x = (-4*10^(1/2)-10)/2
(x-((-4*10^(1/2)-10)/2))*(x-((4*10^(1/2)-10)/2)) = 0
x^3-2*x^2-x+2 = 0
x^3-2*x^2-x+2 = 0
{ 1, -1, 2, -2 }
1
x = 1
x^3-2*x^2-x+2 = 0
1
x-1
x^2-x-2
x^3-2*x^2-x+2
x-1
x^2-x^3
2-x^2-x
x^2-x
2-2*x
2*x-2
0
x^2-x-2 = 0
DELTA = (-1)^2-(-2*1*4)
DELTA = 9
DELTA > 0
x = (9^(1/2)+1)/(1*2) or x = (1-9^(1/2))/(1*2)
x = 2 or x = -1
x in { -1, 2, 1}
(x+1)*(x-2)*(x-1) = 0
((x-((-4*10^(1/2)-10)/2))*(x-((4*10^(1/2)-10)/2)))/((x+1)*(x-2)*(x-1)) = 0
( x-((-4*10^(1/2)-10)/2) )
x-((-4*10^(1/2)-10)/2) = 0 // + (-4*10^(1/2)-10)/2
x = (-4*10^(1/2)-10)/2
( x-((4*10^(1/2)-10)/2) )
x-((4*10^(1/2)-10)/2) = 0 // + (4*10^(1/2)-10)/2
x = (4*10^(1/2)-10)/2
x in { (-4*10^(1/2)-10)/2, (4*10^(1/2)-10)/2 }
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