2744.sagews

solve(3*x +4 == -8*x-5,  x)    #means solve(your equation, for variable x)  SAGE must know which variable you want to solve it for
                               #if your equation is changed to 3*x +4 == -8*y-5,  see what happens if you ask SAGE to solve for x
                               #and then for y. don't forget to properly declare x and y first before you do this! 
                               #See original worksheet

[x == (-9/11)]

solve(3/x +4 == -8*x-5,  x)

[x == -1/16*I*sqrt(15) - 9/16, x == 1/16*I*sqrt(15) - 9/16]

show(_)     #show in a prettier format

\newcommand{\Bold}[1]{\mathbf{#1}}\left[x = -\frac{1}{16} i \, \sqrt{15} - \frac{9}{16}, x = \frac{1}{16} i \, \sqrt{15} - \frac{9}{16}\right]

solve(3/x == 12/5,x)

[x == (5/4)]

p(x)=2*x^2 + 3*x + 4     #assign expression to p(x), say a polynomial expression
q(x)=-2*x^2
show(p(x))               #I want to see if I typed it correctly; show in prettier format
show(q(x))

\newcommand{\Bold}[1]{\mathbf{#1}}2 \, x^{2} + 3 \, x + 4

\newcommand{\Bold}[1]{\mathbf{#1}}-2 \, x^{2}

a=solve(p(x)==q(x), x)   #the equation is p(x)==q(x). solve for x. assign result to "a" just so I can "show" it below. 
                         #this way all you need is to just change p(x) and q(x)
show(a)

\newcommand{\Bold}[1]{\mathbf{#1}}\left[x = -\frac{1}{8} i \, \sqrt{55} - \frac{3}{8}, x = \frac{1}{8} i \, \sqrt{55} - \frac{3}{8}\right]