Vieta’s Formulas

Refer to the image above. Remember, don’t get the sum and the product of roots values mixed up!! If you are unsure use an equation to test, like x^2 + 5x + 6. Fun fact: These formulas were invented by François Viète, a French mathematician. He worked on questions for up to three days straight […]

Minimum distance from a point to a line

The minimum distance from a point to a line can be thought of as a line. What I mean by that is, if we draw a line named $Bobbi$ and he must have the shortest possible height, then lil Bobbi’s feet must be perpendicular to the line. You could, of course, calculate this by noticing […]

The Sieve of Eratosthenes

That is a sieve. I usually use sieves to sift my cake flour. Sifting cake flour means the bulky stuff is forced through these small holes. Thus, the flour ends up fine; finer and softer than sand. Why must I sift my cake flour? So the finished cake is light as a feather and soft […]

Telescoping

A telescoping sum is a sum that is calculated when immediate terms cancel out. For terms like $\frac{1}{n(n + k)}$, it equals $\frac{1}{k}(\frac{1}{n} – \frac{1}{n + 1})$. A special case, 1, must be noted. Everything simplifies to $\frac{1}{n} – \frac{1}{n – 1}$ There are also other telescoping formulas, like General Linear Denominator and Radical Telescoping […]

Distance Preserving Proprety of Rotation

Rotation is a transformation in metric spaces. Though the positions of points and lines will change, their lengths and angles will not. A rotation is a type of isometry that moves all points according to a fixed point known as the rotocenter.