Python code to solve radical equations

Posted On February 26, 2023

A radical equation is an equation that has a square root or another radical symbol in it. To solve a radical equation, you need to isolate the radical expression and square both sides of the equation to eliminate the radical. You also need to consider any restrictions on the variable, such as domain restrictions that are imposed by the definition of the radical.

Here is a Python function to solve a radical equation:

def solve_radical(expr, var):
    """Solves the radical equation expr = 0, where expr is a function of the variable var."""
    return solve(expr(var), var)

In this example, expr is a function that defines the radical equation, and var is the variable that the equation is solved for. The function solve is a symbolic solver that can find the solutions of an equation.

Note: This code assumes that you have a symbolic solver, such as SymPy, installed and imported in your environment. You may also need to install other dependencies to make the code work.

Here’s an example of using the solve_radical function and printing its output:

from sympy import *

x = symbols('x')
expr = lambda x: x**2 - 4
solutions = solve_radical(expr, x)

print("The solutions are:")
for sol in solutions:
    print(sol)

This will produce the following output:

The solutions are:
2
-2

In this example, the radical equation is x**2 - 4 = 0. The function solve_radical finds the solutions to the equation and returns a list of solutions. The solutions are printed.