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 \(\frac{(-6 ...

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 ...

The mathematician hopes this method will help students avoid memorizing obtuse formulas. His secret is in generalizing two roots together instead of keeping them as separate values. Quadratic ...

In this part you do not have to sketch the graph and you may even be given the sketch of the graph to start with. For a quadratic equation of the form \(y = k{(x - a)^2} + b\), the following diagram ...

The standard quadratic optimization problem (StQP) refers to the problem of minimizing a quadratic form over the standard simplex. Such a problem arises from numerous applications and is known to be ...

Quadratic equations are polynomials, meaning strings of math terms. An expression like “x + 4” is a polynomial. They can have ...