\(3x^2 = 48\) is an example of a quadratic equation that can be solved simply. If \((x + 1)(x + 2) = 0\), then \(x + 1 = 0\) or \(x + 2 = 0\), meaning \(x = -1\) or ...

The graph of \(y = x^2 + 2x + 5\) does not cross or touch the x-axis so the equation \(x^2 + 2x + 5 = 0\) has no roots. The graph of the quadratic equation \(y = ax^2 + bx + c\) crosses the y-axis ...

Everyone learns (and some readers maybe still remember) the quadratic formula. It’s a pillar of algebra and allows you to solve equations like Ax 2 +Bx+C=0. But just because you’ve used it ...

New research details an intriguing new way to solve "unsolvable" algebra problems that go beyond the fourth degree – ...

For centuries, one of algebra’s oldest puzzles has remained unsolved—how to find exact answers for higher-degree polynomials, ...

Wildberger said: "The Catalan numbers are understood to be intimately connected with the quadratic equation. Our innovation ...

“The Catalan numbers are understood to be intimately connected with the quadratic equation,” explained Wildberger. “Our innovation lies in the idea that if we want to solve higher equations ...