(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.

Mathematicians have made lots of recent progress on a question called the Mordell conjecture, which was posed a century ago ...

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 ...

A decade after the discovery of the “amplituhedron,” physicists have excavated more of the timeless geometry underlying the ...

The student's discoveries were confirmed by the math community this week after their proofs were published in the American ...

In addition to the many examples with hand calculations ... including numerical linear algebra, polynomial and trigonometric interpolation, best approximation, numerical quadrature, the approximate ...

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, ...

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.

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