Create Quadratic Equations(Complexes Numbers) (TheAlgorithms#941)

* Create Quadratic Equations(Complexes Numbers)

Created function that solves quadratic equations treating the cases with complexes numbers. Giving an answer with the imaginary unit "i".

* Update Quadratic Equations(Complexes Numbers)

Since there was no response from the owner of this PR, I made this little change which I hope will solve the issue!

Author: AugustofCravo

maths/Quadratic Equations(Complexes Numbers)

@@ -0,0 +1,40 @@
+from __future__ import print_function
+import math
+
+def QuadraticEquation(a,b,c):
+    """
+    Prints the solutions for a quadratic equation, given the numerical coefficients a, b and c,
+    for a*x*x + b*x + c.
+    Ex.: a = 1, b = 3, c = -4
+    Solution1 = 1 and Solution2 = -4
+    """
+    Delta = b*b - 4*a*c
+    if a != 0:
+        if Delta >= 0:
+            Solution1 = (-b + math.sqrt(Delta))/(2*a)
+            Solution2 = (-b - math.sqrt(Delta))/(2*a)
+            print ("The equation solutions are: ", Solution1," and ", Solution2)
+        else:
+            """
+            Treats cases of Complexes Solutions(i = imaginary unit)
+            Ex.: a = 5, b = 2, c = 1
+            Solution1 = (- 2 + 4.0 *i)/2 and Solution2 = (- 2 + 4.0 *i)/ 10
+            """
+            if b > 0:
+                print("The equation solutions are: (-",b,"+",math.sqrt(-Delta),"*i)/2  and  (-",b,"+",math.sqrt(-Delta),"*i)/", 2*a)
+            if b < 0:
+                print("The equation solutions are: (",b,"+",math.sqrt(-Delta),"*i)/2  and  (",b,"+",math.sqrt(-Delta),"*i/",2*a)
+            if b == 0:
+                print("The equation solutions are: (",math.sqrt(-Delta),"*i)/2  and  ",math.sqrt(-Delta),"*i)/", 2*a)
+    else: 
+        print("Error. Please, coeficient 'a' must not be zero for quadratic equations.")
+def main():
+    a = 5
+    b = 6
+    c = 1
+
+    QuadraticEquation(a,b,c) # The equation solutions are:  -0.2  and  -1.0
+    
+    
+if __name__ == '__main__':
+    main()