求aX2+bX+c=0的解,a,b,c的值由键盘输入,使用python
时间: 2024-06-17 07:04:49 浏览: 108
可以使用Python的math库来求解一元二次方程,以下是示例代码:
```
import math
a = float(input("请输入a的值:"))
b = float(input("请输入b的值:"))
c = float(input("请输入c的值:"))
delta = b ** 2 - 4 * a * c
if delta < 0:
print("此方程无实数解!")
elif delta == 0:
x = -b / (2 * a)
print("此方程有唯一解,x=", x)
else:
x1 = (-b + math.sqrt(delta)) / (2 * a)
x2 = (-b - math.sqrt(delta)) / (2 * a)
print("此方程有两个解,x1=", x1, "x2=", x2)
```
以上代码中,首先从键盘输入a、b、c三个值,然后计算出方程的判别式delta。如果delta小于0,则说明方程无实数解;如果delta等于0,则说明方程有唯一解,即-x/2a;如果delta大于0,则说明方程有两个解,分别为(-b+根号delta)/2a和(-b-根号delta)/2a。
相关问题
求aX²+bX+c=0的解,a,b,c的值由键盘输入。可用math库的sqrt函数。
好的,这是一个关于一元二次方程的问题。根据求根公式,一元二次方程aX²+bX+c=0的解为:
(-b ± sqrt(b²-4ac)) / 2a
接下来,我将为您提供一个Python代码示例,以便您输入a、b、c的值并计算方程的解:
```python
import math
a = float(input("请输入a的值:"))
b = float(input("请输入b的值:"))
c = float(input("请输入c的值:"))
delta = b**2 - 4*a*c # 计算方程的判别式
if delta < 0:
print("方程无实数解")
elif delta == 0:
x = -b / (2*a)
print("方程有一个实数解:x =", x)
else:
x1 = (-b + math.sqrt(delta)) / (2*a)
x2 = (-b - math.sqrt(delta)) / (2*a)
print("方程有两个实数解:x1 =", x1, "和 x2 =", x2)
```
您可以将此代码复制到Python编辑器中运行,然后根据提示输入a、b、c的值,即可计算方程的解。
求aX²+bX+c=0的解,a,b,c的值由键盘输入。可用math库的sqrt函数。示例a,b,c:2,4,3 2X^2+4X+3=0无实数根!其虚根为X=-1.00±0.71i a,b,c:1,2,1 1X^2+2X+1=0的根:X1=-1.00 X2=-1.00
好的,这里是使用Python语言实现的程序,可以从键盘输入a、b、c的值,并求解方程的根:
```python
import math
a = float(input("请输入a的值:"))
b = float(input("请输入b的值:"))
c = float(input("请输入c的值:"))
delta = b**2 - 4*a*c # 计算判别式
if delta < 0:
real_part = -b / (2*a) # 实部
imag_part = math.sqrt(abs(delta)) / (2*a) # 虚部
print("方程无实数根!其虚根为X={:.2f}+{:.2f}i或{:.2f}-{:.2f}i".format(real_part, imag_part, real_part, imag_part))
elif delta == 0:
x = -b / (2*a)
print("方程有一个实根:X1=X2={:.2f}".format(x))
else:
x1 = (-b + math.sqrt(delta)) / (2*a)
x2 = (-b - math.sqrt(delta)) / (2*a)
print("方程有两个实根:X1={:.2f} X2={:.2f}".format(x1, x2))
```
你可以输入示例中的 `a,b,c` 值进行测试,程序会输出相应的解。
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