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 ...

In a boon to algebra students everywhere, a professor at Carnegie Mellon University has devised a simpler and more efficient way to solve problems involving the quadratic equation. The new method was ...

Polynomial equations are fundamental concepts in mathematics that define relationships between numbers and variables in a structured manner. In mathematics, various equations are composed using ...

We derive midpoint criteria for solving Pell's equation x² - Dy² = ±1, using the nearest square continued fraction expansion of $\sqrt D $ . The period of the ...