Simultaneous equations like 𝒚 = 2𝒙 - 1 and 𝒚 = 𝒙 + 1 can be represented graphically. To solve the equations graphically, the two lines 𝒚 = 𝒙 + 1 and 𝒚 = 2𝒙 - 1 are drawn on the same diagram.

Differential equations are fundamental tools in physics: they are used to describe phenomena ranging from fluid dynamics to general relativity. But when these equations become stiff (i.e. they involve ...

This is a preview. Log in through your library . Journal Information Ecology publishes articles that report on the basic elements of ecological research. Emphasis is placed on concise, clear articles ...

This example solves a nonlinear system of equations by Newton's method. Let the nonlinear system be represented by ...

Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 224, No. 1157 (Jun. 22, 1954), pp. 141-160 (20 pages) In this paper is developed a general method of ...

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 ...

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 ...