(Polynomial equations with integer coefficients are also known as Diophantine equations.) Probably the most famous of these equations is the subject of Fermat’s Last Theorem: xk + yk = zk, for k>2.

First, we need to find which number when substituted into the equation will give the answer zero. \(f(1) = {(1)^3} + 4{(1)^2} + (1) - 6 = 0\) Therefore \((x - 1)\)is ...

What type of roots the equation has can be shown by the discriminant. The discriminant for a quadratic equation \(a{x^2} + bx + c = 0\) is \({b^2} - 4ac\). And the types of root the equation has ...

One might spend hours at a chalkboard sketching byzantine particle trajectories and evaluating fearsome formulas only to find ...

Get here the latest and detailed syllabus of CBSE Class 9 Mathematics to plan your studies effectively for the exams in ...

Slater, Paul B. and Dunkl, Charles F. 2015. Formulas for Rational-Valued Separability Probabilities of Random Induced Generalized Two-Qubit States. Advances in ...

How useful is Bernoulli's equation? How restrictive are the assumptions governing its use? Here we give some examples. Consider the steady, flow of a constant density fluid in a converging duct, ...

Having lowered the bar for the sense in which we hope to solve a system of linear equations, one might wonder whether this quantum algorithm 3 offers a real advantage over classical computing at all.

Miyagawa, Akihiro and Speicher, Roland 2023. A dual and conjugate system for q-Gaussians for all q. Advances in Mathematics, Vol. 413, Issue. , p. 108834.

we must take our whole polynomial and divide it by a linear factor. Ultimately, you may repeat this process until only linear ...

On Tuesday, 538 released its 2024 election forecast for the House of Representatives. The general idea behind our forecast is to combine polling data (say, on which party Americans want to control ...

To fit the curve, I found the best cubic equation that fit the data. The decision to settle on a cubic rather than quadratic function or even higher order polynomial is somewhat arbitrary.