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 ...

For tips on how to do this, look at Factorising quadratics and Factorisation of further quadratics in this guide. For (\({x}\) + 2)(\({x}\) + 7) to equal 0 either the first or second bracket must be ...

Given any cubic or quartic equation with real coefficients, it can be transformed by a change of variable into a standard form, and thus solved by means of a double-sided scale (Fig. 1) in the case of ...

Scientific American is part of Springer Nature, which owns or has commercial relations with thousands of scientific publications (many of them can be found at www ...

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 doesn’t ...

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 ...

This jingle has helped generations of algebra students recall the quadratic formula that solves every equation of the form $latex ax^2+bx+c=0$. The formula is as ...