Solve quadratic equations using the quadratic formula and completing the square.
Project description
quadratic-solver-freeman
A Python package to solve quadratic equations (ax² + bx + c = 0) using two methods:
- Quadratic Formula — direct application of the formula
- Completing the Square — algebraic step-by-step method
Supports both real and complex roots.
Installation
pip install quadratic-solver-freeman
Usage
from quadratic_solver_freeman import solve_by_formula, solve_by_completing_square
# Real roots: x² - 5x + 6 = 0
r1, r2 = solve_by_formula(1, -5, 6)
print(r1, r2) # 3.0 2.0
# Repeated root: x² - 2x + 1 = 0
r1, r2 = solve_by_completing_square(1, -2, 1)
print(r1, r2) # 1.0 1.0
# Complex roots: x² + x + 1 = 0
r1, r2 = solve_by_formula(1, 1, 1)
print(r1, r2) # (-0.5+0.866j) (-0.5-0.866j)
Methods
| Function | Method |
|---|---|
solve_by_formula(a, b, c) |
Quadratic formula |
solve_by_completing_square(a, b, c) |
Completing the square |
Both return a tuple (x1, x2) and raise ValueError if a = 0.
License
MIT
Project details
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