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In elementary algebra, completing the square is a technique for converting a quadratic polynomial of the form + + to the form + for some values of and . [1] In terms of a new quantity x − h {\displaystyle x-h} , this expression is a quadratic polynomial with no linear term.
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This is also an application of completing the square, allowing us to write a quadratic polyomial of three variables in which all terms have degree two, as the sum of three squares. (My inspiration was a multivariate calculus problem: Create a tranformation to map the ellipsoid x 2 + 4 x y + 8 y 2 + 4 y z + 6 z 2 − 2 x z = 9 , {\displaystyle x ...
Sporcle is a trivia and pub quiz website created by trivia enthusiast Matt Ramme. [1] First launched on April 23, 2007, the website allows users to play and make quizzes on a wide range of subjects, with the option of earning badges by completing challenges.
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The smallest (and unique up to rotation and reflection) non-trivial case of a magic square, order 3. In mathematics, especially historical and recreational mathematics, a square array of numbers, usually positive integers, is called a magic square if the sums of the numbers in each row, each column, and both main diagonals are the same.
The body can sometimes say more than words, but even the most expressive moves cannot make a coherent case for “Paradise Square.” The blunt and belabored history lesson of a new musical set in ...