A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such ...

Let Q be an n x n symmetric matrix with integral entries and with det Q ≠ O, but not necesarily positive definite. We describe a generalized LLL algorithm to reduce this quadratic form. This algorithm ...

The ancient Babylonians were a remarkable bunch. Among many extraordinary achievements, they found a now-famous mathematical solution to an unpleasant challenge: paying tax. The particular problem for ...

Looking for the answers to ax² + bx + c = 0? A mathematician has rediscovered a technique that the ancient Babylonians used. By Kenneth Chang and Jonathan Corum The quadratic equation has frustrated ...

The quadratic formula for a quadratic equation in the form of \(ax^2 + bx + c = 0\) is \(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\). The first solution is \(x = \frac ...