There are numerous resources on the Internet, that provide description of the theory of Genetic Algorithms and theoretical explanation thereof. I, however, have found a bit more then none giving a real example (I may have not searched that good, though). Therefore, I decided to try and implement the theory into a live example. While there are thousands of areas where GA may be applied, I decided to choose trivial quadratic equation solution process for the sake of simplicity of the implementation. The equation is y = 13x^2 - 5x - 12. It has two roots (points where its graph crosses the X axis) at x = -0.7875184 and at x = 1.17213378. Although, this particular GA implementation has no application in real life (you can solve that equation on paper in several seconds), it demonstrates GA at its finest.