raptor编程求解一元二次方程的根,要求:分别输入二次项、一次项和常数项a、b、c,计算并输出根x1、x2。
时间: 2024-10-17 12:15:38 浏览: 235
Raptor是一种脚本语言,通常用于快速原型设计和简单的应用程序开发,但它不是专门用于解决数学问题的标准工具。不过,我们可以利用Raptor的条件分支和算术运算功能编写一段程序来求解一元二次方程,如韦达定理所示的一般形式ax^2 + bx + c = 0。
以下是简化的Raptor代码示例:
```raptor
# 定义函数求解一元二次方程的根
function solve_quadratic(a, b, c) {
discriminant := Math.pow(b, 2) - (4 * a * c);
# 计算两个根
if (discriminant > 0) {
x1 := (-b + Math.sqrt(discriminant)) / (2 * a);
x2 := (-b - Math.sqrt(discriminant)) / (2 * a);
print "Roots are real and distinct: x1 =", x1, ", x2 =", x2;
} else if (discriminant == 0) {
x := -b / (2 * a);
print "Root is real and repeated: x =", x;
} else { # 当判别式小于0时,有两个复数根
real_part := -b / (2 * a);
imaginary_part := Math.sqrt(-discriminant) / (2 * a);
print "Roots are complex conjugates: x1 =", real_part, "+", imaginary_part, "i, x2 =", real_part, "-", imaginary_part, "i";
}
}
# 用户输入系数
a := ask "Enter coefficient a: ";
b := ask "Enter coefficient b: ";
c := ask "Enter coefficient c: ";
# 调用函数求解
solve_quadratic(a, b, c);
```
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