SOLUTIONS OF CUBIC AND BIQUADRATIC EQUATION
The first principal is that you must not fool yourself, and you are the easiest person to fool. - Richard Feymann
Introduction To cubic equations

The general form of a cubic equation with binomial coefficients:

THE GENERAL SOLUTION OF A CUBIC: CARDAN’S METHOD
a brief history of cardan or gerolamo cardano
Jerome Cardan, or Gerolamo Cardano (1501–1576), was a Renaissance mathematician, physician, astrologer, and gambler who was the first to describe the Cardan suspension and the Cardan joint in detail.
A subcategory of Euler angles is often called Cardan angles
He wrote the book “ The Book on Games of Chance” on his gambling experience in the field of probability
The general solution of a cubic: cardan’s method
formulation of Cardan’s method:

Introduction to biquadratic equations:

The general form of a biquadratic or quartic equation:

Ferrari’s solution of a biquadratic equation

Sorry for the incorrect typesetting. For some issues in my device i couldn’t format well. I wrote in my cell phone and took screenshots so they look this way! Pardon this next week I will start with mesh convergence! Love you all!