Monthly Archives: May 2010

Solving Cubic Equations

iSolve : For A,B,C reals Method : Let Choose , rewrite this as – which again is re-written as – Where , Therefore, and are the roots of the equation – Therefore , Now we have that – Solving the quadratic plus the trivial solution gives us – now substituting the value of y in […]

Exponent of a Prime

We define is is the exponent of p in the expansion of a. Thus by definition we directly have the following facts – 1. 2. 3. Equality when 4. 5. We also have the legendre’s formula – 6. This function gets to be seriously useful many more plus it is beautiful !! . Setting such […]