1. jsMath
CM 1.0 Geometry2 MrG 20110913
factor(x^2-9)
(x−3)(x+3)
expand((x-3)*(x+3))
x2−9
solve(x^2-9==0,x)
[x=(−3),x=3]
plot(x^2-9,xmin=-4,xmax=4)
factor(x^3-8)
(x - 2)*(x^2 + 2*x + 4)
factor(x^3+8)
(x + 2)*(x^2 - 2*x + 4)
factor(27*x^3-64)
(3*x - 4)*(9*x^2 + 12*x + 16)
solve(27*x^3-64==0,x)
[x= i√3−
32 √3−32,x=(34)]
32,x=−32i

2. l=solve(27*x^3-64==0,x) for i in range(3): l[i].rhs().n()
-0.666666666666667 + 1.15470053837925*I
-0.666666666666667 - 1.15470053837925*I
1.33333333333333
plot(27*x^3-64,xmin=-2,xmax=5)
f(x)=-2*x+100 g(x)=-x+75 solve(f(x)==g(x),x)
[x=25]
f(25)
50
g(25)
50
var('y') solve([y==-2*x+100, y==-x+75],x,y)
[[x=25,y=50]]
plot([-2*x+100, -
x+75],xmin=0,xmax=50,ymin=0,ymax=70,fill='max')

3. (sphere(center=(-
1,0,0))+sphere(center=(1,0,0))).show(viewer='tachyon',aspect_rat
io=1)