To solve an equation in Python with Sympy, you can use the solve() function from the sympy module. First, you need to define your equation as an expression using Sympy symbols. Then, you can use the solve() function to find the solutions of the equation.
For example, if you have the equation 2*x + 3 = 7, you can define this equation in Sympy as eq = Eq(2*x + 3, 7). Then, you can use the solve() function to find the value of x that satisfies the equation by calling solve(eq, x). This will return the solution of the equation as a list of possible values for x.
Remember to import the necessary Sympy modules and functions before using them in your Python code. This includes importing the symbols function to define symbols, the Eq function to define equations, and the solve function to solve equations.
What is a solve function in sympy?
A solve function in Sympy is a function that is used to solve equations symbolically. It is specially designed for solving algebraic equations, transcendental equations, systems of equations, and inequalities. The function returns the solution(s) to the given equation or system of equations in the form of a dictionary.
How to solve a linear equation in sympy?
To solve a linear equation in sympy, you can use the solve function. Here is an example of how to solve the equation 3*x + 5 = 11:
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from sympy import symbols, Eq, solve x = symbols('x') equation = Eq(3*x + 5, 11) solution = solve(equation, x) print(solution) |
This code will output:
1
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[2]
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This means that the solution to the equation 3*x + 5 = 11 is x = 2.
How to solve a quadratic equation in sympy?
To solve a quadratic equation in SymPy, you can use the solve() function. Here's an example of how to solve the quadratic equation x^2 - 5x + 6 = 0:
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from sympy import symbols, Eq, solve # Define the variable x = symbols('x') # Define the quadratic equation equation = Eq(x**2 - 5*x + 6, 0) # Solve the quadratic equation solution = solve(equation, x) print(solution) |
This will output [2, 3] as the solutions to the quadratic equation. You can also solve quadratic equations with complex solutions using SymPy by passing the complex=True argument to the solve() function:
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from sympy import symbols, Eq, solve # Define the variable x = symbols('x') # Define the quadratic equation with complex solutions equation = Eq(x**2 + x + 1, 0) # Solve the quadratic equation with complex solutions solution = solve(equation, x, complex=True) print(solution) |
This will output [-1/2 - sqrt(3)*I/2, -1/2 + sqrt(3)*I/2] as the complex solutions to the quadratic equation.
