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40 lines
1.1 KiB
Python
40 lines
1.1 KiB
Python
from math import sqrt
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from typing import Tuple
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def QuadraticEquation(a: int, b: int, c: int) -> Tuple[str, str]:
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"""
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Given the numerical coefficients a, b and c,
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prints the solutions for a quadratic equation, for a*x*x + b*x + c.
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>>> QuadraticEquation(a=1, b=3, c=-4)
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('1.0', '-4.0')
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>>> QuadraticEquation(5, 6, 1)
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('-0.2', '-1.0')
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"""
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if a == 0:
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raise ValueError("Coefficient 'a' must not be zero for quadratic equations.")
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delta = b * b - 4 * a * c
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if delta >= 0:
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return str((-b + sqrt(delta)) / (2 * a)), str((-b - sqrt(delta)) / (2 * a))
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"""
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Treats cases of Complexes Solutions(i = imaginary unit)
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Ex.: a = 5, b = 2, c = 1
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Solution1 = (- 2 + 4.0 *i)/2 and Solution2 = (- 2 + 4.0 *i)/ 10
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"""
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snd = sqrt(-delta)
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if b == 0:
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return f"({snd} * i) / 2", f"({snd} * i) / {2 * a}"
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b = -abs(b)
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return f"({b}+{snd} * i) / 2", f"({b}+{snd} * i) / {2 * a}"
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def main():
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solutions = QuadraticEquation(a=5, b=6, c=1)
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print("The equation solutions are: {} and {}".format(*solutions))
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# The equation solutions are: -0.2 and -1.0
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if __name__ == "__main__":
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main()
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