写一个 Python示例,用一个例子找到一个二次方程的根。二次方程的数学表示是 ax +bx+c = 0。一个二次方程可以有两个根,它们完全取决于判别式。如果判别式> 0,则该方程存在两个不同的实根
如果判别式= 0,则存在两个相等的实根。
而如果判别< 0, Two Distinct Complex Roots exists.
这个 python 程序允许用户输入 a、b 和 c 的三个值。通过使用这些值,这个 Python 代码使用 Elif 语句找到一个二次方程的根。
# Python Program to find roots of a Quadratic Equation
import math
a = int(input("Please Enter a Value of a Quadratic Equation : "))
b = int(input("Please Enter b Value of a Quadratic Equation : "))
c = int(input("Please Enter c Value of a Quadratic Equation : "))
discriminant = (b * b) - (4 * a * c)
if(discriminant > 0):
root1 = (-b + math.sqrt(discriminant) / (2 * a))
root2 = (-b - math.sqrt(discriminant) / (2 * a))
print("Two Distinct Real Roots Exists: root1 = %.2f and root2 = %.2f" %(root1, root2))
elif(discriminant == 0):
root1 = root2 = -b / (2 * a)
print("Two Equal and Real Roots Exists: root1 = %.2f and root2 = %.2f" %(root1, root2))
elif(discriminant < 0):
root1 = root2 = -b / (2 * a)
imaginary = math.sqrt(-discriminant) / (2 * a)
print("Two Distinct Complex Roots Exists: root1 = %.2f+%.2f and root2 = %.2f-%.2f" %(root1, imaginary, root2, imaginary))
标签: 编程