Last Updated 10/28/2022

Sage Essentials
Section 4: Solving Equations

The find_root and roots command

Example 2

For polynomial equations of the form $f\left(x\right)=0$ . We can use the roots command to find its numerical solutions. For example, to find the solutions of $2x^6+3x^5+3x^3-2x^2=0$ , we first define the function $f\left(x\right)$ , follows by the roots command.

The output is in the format of (root, multiplicity).

Try this!

For the function f defined above, find the solutions of $f^{\prime }\left(x\right)=0$ . [Hint: Define the derivative function as fp(x)=diff(f(x),x)]