** Mathematics** is the study of

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*There are approximately 31,444 mathematics articles in Wikipedia.*

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A **quadratic equation** is a

where *a* ≠ 0 (if *a* = 0, then the equation becomes a *a*, *b*, and *c* are called *a* is the coefficient of *x*^{2}, the linear coefficient *b* is the coefficient of *x*, and *c* is the

Quadratic equations are known by that name because *quadratus* is

A quadratic equation has two (not necessarily distinct) solutions, which may be * quadratic formula*:

If the discriminant , then the quadratic equation has two distinct real solutions; if , the equation has two real solutions which are equal; if , the equation has two complex solutions.

These solutions are * roots* of the corresponding

This is a chart of all _{1}) and _{1}). ** Knot theory** is the study of

- ... that, while the
criss-cross algorithm visits all eight corners of theKlee–Minty cube when started at a , it visits only three more corners*worst*corneron average when started at a ?*random*corner - ...that in
senary , all other than 2 and 3 end in 1 or a 5?**prime numbers** - ... if the integer
*n*isprime , then the*n*thPerrin number is divisible by*n*? - ...that it is impossible to
using only atrisect a general angle ruler and a compass ? - ...that in a group of 23 people, there is a more than 50% chance that two people
share a birthday ? - ...that statistical properties dictated by
Benford's Law are used in auditing of financial accounts as one means of detecting fraud? - ...the
hyperbolic trigonometric functions of thenatural logarithm can be represented byrational algebraic fractions ?

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