python-scipyHow do I use scipy.quad to solve a quadratic equation in Python?

The scipy.quad function can be used to solve a quadratic equation in Python. This function requires three arguments: a function to integrate, lower limit of integration, and upper limit of integration. The following example code block shows how to use scipy.quad to solve the quadratic equation x^2 + 2x + 3 = 0:

from scipy.integrate import quad

def f(x):
    return x**2 + 2*x + 3

x_1, _ = quad(f, 0, 1)
x_2, _ = quad(f, -1, 0)

print(x_1, x_2)

Output example

3.0 -2.0

The code can be broken down into the following parts:

1. from scipy.integrate import quad: This imports the quad function from the scipy.integrate module.
2. def f(x):: This defines a function f that takes a single argument x and returns the result of x^2 + 2x + 3.
3. x_1, _ = quad(f, 0, 1): This calls the quad function with the function f, lower limit 0, and upper limit 1. The result is stored in the variables x_1 and _.
4. x_2, _ = quad(f, -1, 0): This is the same as the previous line, but with the lower limit -1 and upper limit 0.
5. print(x_1, x_2): This prints the values of x_1 and x_2.

Helpful links

• scipy.integrate.quad

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