121.sagews

x = var('x')
solve(x^2 + 3*x + 2, x)

[x == -2, x == -1]

x = var('x')
solve(x^2 + 3/2*x + 1, x)

[x == (-sqrt(7)*I - 3)/4, x == (sqrt(7)*I - 3)/4]

v, mg, h = var('v mg h')
solve([1/2*v^2-g*h, g==9.8,h==4],v,g,h)

[[v == 14*sqrt(2)/sqrt(5), g == 49/5, h == 4], [v == -14*sqrt(2)/sqrt(5), g == 49/5, h == 4]]

v, mg, h = var('v mg h')
solve([1/2*v^2-g*h, g==9.8,h==4],v,g,h)

[[v == 14*sqrt(2)/sqrt(5), g == 49/5, h == 4], [v == -14*sqrt(2)/sqrt(5), g == 49/5, h == 4]]

plot(cos(x), (-5,5)) + plot(sin(x), (-5,5))

8+1

9

a,g,x,u = var('a,g,x,u')
solns = solve([a==g*(sin(x)-u*cos(x)), a==5.3475,g==9.8,x==20],a,g,x,u, solution_dict=True)
[[s[a].n(30), s[g].n(30), s[x].n(30), s[u].n(30)] for s in solns]

[[5.3475000, 9.8000000, 20.000000, 0.90001992]]

sin?

sin(1/2)

sin(1/2)

plot(-2*x^2+4,(-5,5))

plot(x^3+x^2+3, (-2,2))

show(plot((1/((3*x-9))+1), (-5,5)), xmax=5, ymax=5, xmin=-5, ymin=-5)

plot(10^x, (-8,0))