 This programs solve read and imaginary roots of 2nd degree polynomial. Mohammad Bin Musa Al-Khawarazmi was a Persian Mathematic from The Greate Khorasan in from 820 AC .
The Great Khorasan is currently Afghanistan, Uzbekistan, Turkmenistan, East of Iran and Tajikistan

``````
/*
* Code MBMK-1
* This programs solve read and imaginary roots of 2nd degree polynomial
*
* Mohammad Bin Musa Al-Khawarazmi was a Persian Mathematic from The Greate Khorasan in from 820 AC
* The Great Khorasan is currently Afghanistan, Uzbekistan, Turkmenistan, East of Iran and Tajikistan
*
*
* written on Mar 09, 2023
*
* Main idea taken from
*/
float a=4;//value of "a"
float b=1.3;//value of "b"
float c=2;//value of "c"

float x1, x2, discriminant, realPart, imaginaryPart;

void setup() {
Serial.begin(9600);
Serial.println("================================");
Serial.println("Mohamamd Bin Musa Al-Khawarazmi 2nd Degree Solver");
discriminant = b*b - 4*a*c;
if (discriminant > 0) {
x1 = (-b + sqrt(discriminant)) / (2*a);
x2 = (-b - sqrt(discriminant)) / (2*a);
Serial.println( "Roots are real and different.");
Serial.print( "x1 = ");
Serial.println(x1);
Serial.print("x2 = ");
Serial.println(x2);
}else if(discriminant == 0){
Serial.println( "Roots are real and same.");
x1 = -b/(2*a);
Serial.print( "x1 = x2 =  ");
Serial.println(x1);
}else{
realPart = -b/(2*a);
imaginaryPart =sqrt(-discriminant)/(2*a);
Serial.println("Roots are complex and different." );
Serial.print("x1 = ");
Serial.print(realPart);
Serial.print("+");
Serial.print(imaginaryPart);
Serial.println("i");

Serial.print("x2 = ");
Serial.print(realPart);
Serial.print("+");
Serial.print(imaginaryPart);
Serial.println("i");

}

}

void loop() {
// put your main code here, to run repeatedly:

}
```  ```

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