(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 ...

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

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 ...

In 1843, William Rowan Hamilton had a four-dimensional flash of insight that still shapes our three-dimensional world.

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, ...

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

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

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.

Give an example of a function with one critical point which is also an inflection point. You must provide the equation of your function. A particle moves along a line with a position function \(s(t)\) ...

CBSE Class 9 Maths Syllabus 2024-2025: Get here the latest and detailed syllabus of CBSE Class 9 Mathematics to plan your studies effectively for the exams in 2024-2025. This updated syllabus ...