How it works...

A quadratic equation is represented by ax^2 + bx + c = 0. There are three possible cases that we have to handle:

Case Condition Root 1 Root 2 Remarks
I a = 0 and b = 0 ERROR ERROR
II a = 0 x = -c/b Not applicable Linear equation
III a and b are non-zero, delta = b2 - 4ac
III-A delta = 0 -b/(2a) -b/(2a) Perfect square
III-B delta > 0 (-b+sqrt(delta))/(2a) (-b-sqrt(delta))/(2a) Real roots
III-C delta < 0 (-b+sqrt(delta))/(2a) (-b-sqrt(delta))/(2a) Complex roots

 

We will define a module at the top of the file with the Quadratic module where the name of the module matches file name, and it starts with a capital letter. The Quadratic module is followed by the definition of module (data types and functions ...

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