### Instruction: Let $m$ and $n$ satisfy $mn=4$ and $m+n=5$. What is $|m-n|$? Please respond by writing a program in Python.### Response: import sympy as sp

# define the variables
m, n = sp.symbols('m n')

# define the equations
eq1 = sp.Eq(m*n, 4)
eq2 = sp.Eq(m+n, 5)

# solve the system of equations
solution = sp.solve((eq1, eq2), (m, n))

# calculate |m-n|
diff_mn = abs(solution[0][0] - solution[0][1])

# print the result
print(diff_mn)