quadratic equation

Bjarne Stroustrup “Programming Principles and Practice Using C++”
Chapter 5 Exercise 7
Using std_lib_facilities.h by Bjarne Stroustrup.

[code language=”cpp”]
// Philipp Siedler
// Bjarne Stroustrup’s PP
// Chapter 5 Exercise 7

//input: 1 2 3

#include "std_lib_facilities.h"

int main()
try
{
float a, b, c, x1, x2, determinant, realNum, imagineNum;

cout << "Enter a value for ‘a’, ‘b’ and ‘c’ to solve a quadratic equation.\n";

if (cin >> a >> b >> c) {}
else {
error("Bad input for a, b or c");
}

determinant = pow(b, 2) – 4 * a * c;
cout << "for a = " << a << ", b = " << b << ", c = " << c << "\ndeterminant = " << determinant << "\n";

if (determinant > 0) {
x1 = (-b + sqrt(determinant)) / (2 * a);
x2 = (-b – sqrt(determinant)) / (2 * a);

cout << "Roots are real and different.\n";
cout << "x1 = " << x1 << "\n";
cout << "x2 = " << x2 << "\n";
}

else if (determinant == 0) {
x1 = (-b + sqrt(determinant)) / (2 * a);

cout << "Roots are real and same.\n";
cout << "x1 = x2 " << x1 << "\n";
}

else {
realNum = -b / (2 * a);
imagineNum = sqrt(-determinant) / (2 * a);

cout << "Roots are complex and different.\n";
cout << "imagined part + real part: x1 = " << realNum + imagineNum << "\n";
cout << "imagined part – real part: x2 = " << realNum – imagineNum << "\n";
}

keep_window_open(".");
}
catch (runtime_error e) {
cout << e.what() << "\n";
keep_window_open(".");
}
catch (…) {
cout << "Extiting" << "\n";
keep_window_open(".");
}
[/code]

Output:
Enter a value for 'a', 'b' and 'c' to solve a quadratic equation.
1
2
3
for a = 1, b = 2, c = 3
determinant = -8
Roots are complex and different.
imagined part + real part: x1 = 0.414214
imagined part - real part: x2 = -2.41421
Please enter . to exit

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