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D( x )
2*x-7 = 0
2*x-7 = 0
2*x-7 = 0
2*x-7 = 0 // + 7
2*x = 7 // : 2
x = 7/2
x in (-oo:7/2) U (7/2:+oo)
(2*x^3+x^2-(32*x)+14)/(2*x-7) = 0
(2*x^3+x^2-32*x+14)/(2*x-7) = 0
2*x^3+x^2-32*x+14 = 0
2*x^3+x^2-32*x+14 = 0
{ 1, -1, 2, -2, 7, -7, 14, -14 }
1
x = 1
2*x^3+x^2-32*x+14 = -15
1
-1
x = -1
2*x^3+x^2-32*x+14 = 45
-1
2
x = 2
2*x^3+x^2-32*x+14 = -30
2
-2
x = -2
2*x^3+x^2-32*x+14 = 66
-2
7
x = 7
2*x^3+x^2-32*x+14 = 525
7
-7
x = -7
2*x^3+x^2-32*x+14 = -399
-7
14
x = 14
2*x^3+x^2-32*x+14 = 5250
14
-14
x = -14
2*x^3+x^2-32*x+14 = -4830
-14
{ 1/2, -1/2, -1/2, 1/2, 2/2, -2/2, -2/2, 2/2, 7/2, -7/2, -7/2, 7/2, 14/2, -14/2, -14/2, 14/2 }
1/2
x
1/2
2*x^3+x^2-32*x+14 = -1.5
1/2
-1/2
x
-1/2
2*x^3+x^2-32*x+14 = 30
-1/2
-1/2
x
-1/2
2*x^3+x^2-32*x+14 = 30
-1/2
1/2
x
1/2
2*x^3+x^2-32*x+14 = -1.5
1/2
2/2
x
2/2
2*x^3+x^2-32*x+14 = -15
2/2
-2/2
x
-2/2
2*x^3+x^2-32*x+14 = 45
-2/2
-2/2
x
-2/2
2*x^3+x^2-32*x+14 = 45
-2/2
2/2
x
2/2
2*x^3+x^2-32*x+14 = -15
2/2
7/2
x
7/2
2*x^3+x^2-32*x+14 = 0
7/2
x-7/2
2*x^2+8*x-4
2*x^3+x^2-32*x+14
x-7/2
7*x^2-2*x^3
8*x^2-32*x+14
28*x-8*x^2
14-4*x
4*x-14
0
2*x^2+8*x-4 = 0
DELTA = 8^2-(-4*2*4)
DELTA = 96
DELTA > 0
x = (96^(1/2)-8)/(2*2) or x = (-96^(1/2)-8)/(2*2)
x = (4*6^(1/2)-8)/4 or x = (-4*6^(1/2)-8)/4
x in { (-4*6^(1/2)-8)/4, (4*6^(1/2)-8)/4, 7/2}
(x-((-4*6^(1/2)-8)/4))*(x-((4*6^(1/2)-8)/4))*(x-7/2) = 0
((x-((-4*6^(1/2)-8)/4))*(x-((4*6^(1/2)-8)/4))*(x-7/2))/(2*x-7) = 0
( x-((-4*6^(1/2)-8)/4) )
x-((-4*6^(1/2)-8)/4) = 0 // + (-4*6^(1/2)-8)/4
x = (-4*6^(1/2)-8)/4
( x-((4*6^(1/2)-8)/4) )
x-((4*6^(1/2)-8)/4) = 0 // + (4*6^(1/2)-8)/4
x = (4*6^(1/2)-8)/4
( x-7/2 )
x-7/2 = 0 // + 7/2
x = 7/2
x in { 7/2}
x in { (-4*6^(1/2)-8)/4, (4*6^(1/2)-8)/4 }
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