polynomial_function为二次多项式表达式,修改上述程序
时间: 2024-11-25 19:16:52 浏览: 6
name-your-polynomial:我可以说出你的多项式
如果`polynomial_function`表示的是二次多项式,我们可以简化`solve_polynomial_equation`函数,因为二次方程求根公式更为直接。假设`polynomial_function`总是返回一个包含系数(a, b, c)的列表,可以这样做:
```python
def quadratic_expression_to_coefficients(expression):
# 根据输入的二次多项式字符串解析出系数
coefficients = expression.split(',')
return [float(coeff) for coeff in coefficients]
def solve_quadratic_equation(quadratic_expression):
a, b, c = quadratic_expression_to_coefficients(quadratic_expression)
discriminant = b**2 - 4*a*c
if discriminant > 0:
x1 = (-b + discriminant**0.5) / (2*a)
x2 = (-b - discriminant**0.5) / (2*a)
return x1, x2
elif discriminant == 0:
x = -b / (2*a)
return [x]
else: # complex roots
real_part = -b / (2*a)
imaginary_part = discriminant**0.5 / (2*a)
return [real_part + imaginary_part * 1j, real_part - imaginary_part * 1j]
# 示例
expression = "1, -3, 2" # 表示 ax^2 + bx + c 的形式
solution = solve_quadratic_equation(expression)
```
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