4911.sagews

To solve an equation of the form $f=0$, you first declare what the function $f$ is. In this example we have chosen a degree four polynomial.

f=-10.2*x^4-8*x^3+2*x^2-3.34*x+8

Then the command find_root will find a root in a given interval [a,b] in the form "find_root(f,a,b)". In the example we choose a=0 and b=2 .

find_root(f,0,2)

0.7505680692581952

The plot command provide us with a graph and is used to verify or make a guess about the answer. In this case we are verifying the numerical result with a graph of the function f in the interval [0,2]:

plot(f,0,2)