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D( x )
4*x+3 = 0
4*x+3 = 0
4*x+3 = 0
4*x+3 = 0 // - 3
4*x = -3 // : 4
x = -3/4
x in (-oo:-3/4) U (-3/4:+oo)
(4*x^3-(5*x^2)-(10*x)-3)/(4*x+3) = 0
(4*x^3-5*x^2-10*x-3)/(4*x+3) = 0
4*x^3-5*x^2-10*x-3 = 0
4*x^3-5*x^2-10*x-3 = 0
{ 1, -1, 3, -3 }
1
x = 1
4*x^3-5*x^2-10*x-3 = -14
1
-1
x = -1
4*x^3-5*x^2-10*x-3 = -2
-1
3
x = 3
4*x^3-5*x^2-10*x-3 = 30
3
-3
x = -3
4*x^3-5*x^2-10*x-3 = -126
-3
{ 1/2, -1/2, 1/4, -1/4, -1/2, 1/2, -1/4, 1/4, 3/2, -3/2, 3/4, -3/4, -3/2, 3/2, -3/4, 3/4 }
1/2
x
1/2
4*x^3-5*x^2-10*x-3 = -8.75
1/2
-1/2
x
-1/2
4*x^3-5*x^2-10*x-3 = 0.25
-1/2
1/4
x
1/4
4*x^3-5*x^2-10*x-3 = -5.75
1/4
-1/4
x
-1/4
4*x^3-5*x^2-10*x-3 = -0.875
-1/4
-1/2
x
-1/2
4*x^3-5*x^2-10*x-3 = 0.25
-1/2
1/2
x
1/2
4*x^3-5*x^2-10*x-3 = -8.75
1/2
-1/4
x
-1/4
4*x^3-5*x^2-10*x-3 = -0.875
-1/4
1/4
x
1/4
4*x^3-5*x^2-10*x-3 = -5.75
1/4
3/2
x
3/2
4*x^3-5*x^2-10*x-3 = -15.75
3/2
-3/2
x
-3/2
4*x^3-5*x^2-10*x-3 = -12.75
-3/2
3/4
x
3/4
4*x^3-5*x^2-10*x-3 = -11.625
3/4
-3/4
x
-3/4
4*x^3-5*x^2-10*x-3 = 0
-3/4
x+3/4
4*x^2-8*x-4
4*x^3-5*x^2-10*x-3
x+3/4
-4*x^3-3*x^2
-8*x^2-10*x-3
8*x^2+6*x
-4*x-3
4*x+3
0
4*x^2-8*x-4 = 0
DELTA = (-8)^2-(-4*4*4)
DELTA = 128
DELTA > 0
x = (128^(1/2)+8)/(2*4) or x = (8-128^(1/2))/(2*4)
x = (8*2^(1/2)+8)/8 or x = (8-8*2^(1/2))/8
x in { (8-8*2^(1/2))/8, (8*2^(1/2)+8)/8, -3/4}
(x-((8-8*2^(1/2))/8))*(x-((8*2^(1/2)+8)/8))*(x+3/4) = 0
((x-((8-8*2^(1/2))/8))*(x-((8*2^(1/2)+8)/8))*(x+3/4))/(4*x+3) = 0
( x+3/4 )
x+3/4 = 0 // - 3/4
x = -3/4
( x-((8*2^(1/2)+8)/8) )
x-((8*2^(1/2)+8)/8) = 0 // + (8*2^(1/2)+8)/8
x = (8*2^(1/2)+8)/8
( x-((8-8*2^(1/2))/8) )
x-((8-8*2^(1/2))/8) = 0 // + (8-8*2^(1/2))/8
x = (8-8*2^(1/2))/8
x in { -3/4}
x in { (8*2^(1/2)+8)/8, (8-8*2^(1/2))/8 }
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