Solve the following quadratic equation using 3 out of 4 of the following methods

This type of question is very rare on .  It's always a special
occasion when one comes along.  I call this a "twofer".

Wherever this question was copied from, it clearly had both a
quadratic equation and a list of (4) methods along with it.  Sadly,
the individual who expects to be handed a fully-developed set of
answers on a silver platter chose to share neither of them with the
volunteers whose assistance he so earnestly solicits.

One might just as well come along and post:

         "Answer the following question, using the following words."

and then leave it at that, for others to puzzle over.

There are 48 blue cards total