280e74fe-d3c6-46e1-8b2f-70c221145b1a
prompter
The problem I am facing is mathematical.
If you have the function f(x)=sin(x) + x^2 how many roots does it have.
Can you provide a formula to find all roots for continuous functions?
7eb51936-406e-4eac-9e34-19be0bdf3eca
280e74fe-d3c6-46e1-8b2f-70c221145b1a
assistant
Putting the function f(x) = sin(x) + x^2 into a graphing calculator, you would get the solutions, x=0 and x = -0.8767.
However, there is no formula for finding all roots for a continuous function as the solution for finding roots depends on the specific function. There are several methods for finding roots including numerical methods like the Newton-Raphson, graphical methods like what I did by using a graphing calculator or analytical methods such as solving the equation algebraically.
cd1fb38c-15c3-4d2b-bd6a-742378b637b6
7eb51936-406e-4eac-9e34-19be0bdf3eca
prompter
Can you write it as js code?