Square roots and negative numbers are connected in several ways.  In some cases, we might need to bring complex or imaginary numbers into the discussion. So, can a square root be...

Prime numbers are a central topic in number theory.  They are useful in cryptography, and they have many interesting properties as well. Of course, there are some common questions about prime...

Graphing a parabola is one thing, but making a change so that it has a different shape or position is another.  Changing the shape of a parabola involves adding and multiplying by certain...

Solving and graphing quadratic equations is one thing, but quadratic inequalities add another layer of work to be done.  However, if you have a method, you can solve these problems without much...

Quadratics appear all the time in algebra, and we know that x2 is positive (or zero) for every real x.  However, this still leaves the question of whether a quadratic function can return...

Mean and median are used often in statistics to help summarize the values in a data set.  However, there are questions about how they are related, how they differ, and what they mean. So,...