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q in (-oo:+oo)
q^3-q^2-q-(1/8) = 0
q^3-q^2-q-1/8 = 0
q^3-q^2-q-1/8 = 0
q^3-q^2-q-1/8 = 0 // * 0
{ 1, -1 }
1
q = 1
8*q^3-8*q^2-8*q-1 = -9
1
-1
q = -1
8*q^3-8*q^2-8*q-1 = -9
-1
{ 1/2, -1/2, 1/4, -1/4, 1/8, -1/8, -1/2, 1/2, -1/4, 1/4, -1/8, 1/8 }
1/2
q
1/2
8*q^3-8*q^2-8*q-1 = -6
1/2
-1/2
q
-1/2
8*q^3-8*q^2-8*q-1 = 0
-1/2
q+1/2
8*q^2-12*q-2
8*q^3-8*q^2-8*q-1
q+1/2
-8*q^3-4*q^2
-12*q^2-8*q-1
12*q^2+6*q
-2*q-1
2*q+1
0
8*q^2-12*q-2 = 0
DELTA = (-12)^2-(-2*4*8)
DELTA = 208
DELTA > 0
q = (208^(1/2)+12)/(2*8) or q = (12-208^(1/2))/(2*8)
q = (4*13^(1/2)+12)/16 or q = (12-4*13^(1/2))/16
q in { (12-4*13^(1/2))/16, (4*13^(1/2)+12)/16, -1/2}
q in { (12-4*13^(1/2))/16, (4*13^(1/2)+12)/16, -1/2 }
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