Enter the following code into an input cell in a worksheet, and evaluate the cell:
var('x, y')
# Solve a single equation
f(x) = x^3 - 1
solution1 = solve(f == 0, x)
for solution in solution1:
print(solution)
# Solve a system of equations
solutions = solve([x^2 + y^2 == 1, y^2 == x^3 + x + 1], x, y,
solution_dict=True)
print("\nSolution to system:")
for solution in solutions:
print("x = {0} y = {1}".format(solution[x], solution[y]))
# Solve an inequality
print("\nSolution to inequality:")
solve(-20 * x - 30 <= 4 * x^3 - 7 * x, x)
# Plotted in previous exampleThe output is shown in the following screenshot:
We used the solve function to solve an equation, a system of equations, and an inequality. The first argument to solve is an equation or a list of equations. The next argument (or arguments) is the variable or variables to solve for. By default, the solutions are returned as a list of symbolic expressions. The...