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Simultaneous Quadratic Equations

The American Mathematical Monthly, 1896
(1896). Simultaneous Quadratic Equations. The American Mathematical Monthly: Vol. 3, No. 5, pp. 137-138.
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Problems: Quadratic Equations

2021
In this chapter, the basic and advanced problems of quadratic equations are presented. To help students study the chapter in the most efficient way, the problems are categorized in different levels based on their difficulty levels (easy, normal, and hard) and calculation amounts (small, normal, and large).
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The Quadratic Equation

The Mathematics Teacher, 1933
The following method is suggested for the treatment of the quadratic equation in the teaching of algebra. The method makes use of factoring and substitution in their simplest form. If the quadratic is incomplete it can be factored as the difference of two squares, hence given the equation.
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WITHDRAWN: Quadratic Equations

1979
Publisher Summary This chapter discusses quadratic equations. A new method of solving quadratic equations has been developed; this new method is called “completing the square.” Completing the square on a quadratic equation allows obtaining the solutions, regardless of whether the equation can be factored.
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Quadratic Operators and Quadratic Functional Equation

2012
In the first part of this paper, we consider some quadratic difference operators (e.g., Lobaczewski difference operators) and quadratic-linear difference operators (d’Alembert difference operators and quadratic difference operators) in some special function spaces X λ . We present results about boundedness and find the norms of such operators.
S. Czerwik, M. Adam
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Quadratic Diophantine Equations

2004
34.1. We take a nondegenerate quadratic space \((V,\,{\varphi})\) of dimension \(\,n\,\) over a local or global field F in the sense of §21.1.
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Applications of Quadratic Equations

The Mathematics Teacher, 1945
The advent of quadratic equations antedates the dawn of the Christian era by about two millennia. The study of conics, however, did not get under way until the fourth century prior to the birth of Christ. The first writer on this subject, Menaechmus, used the parabola and hyperbola in duplicating the cube. Several years later Euclid wrote a treatise on
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Quadratic diophantine equations

Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1960
Tartakowsky (1929) proved that a positive definite quadratic form, with integral coefficients, in 5 or more variables represents all but at most finitely many of the positive integers not excluded by congruence considerations. Tartakowsky’s argument does not lead to any estimate for a positive integer which, though not so excluded, is not represented ...
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Quadratic Polynomials and Equations [PDF]

open access: possible, 1984
The equation 2x + 4 = 7 is called a “linear” equation. This type of problem arose repeatedly in Chapter 4.
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Solving Quadratic Equations

1995
In this chapter, a new form of the solve command will be introduced. When we solve equations with more than one solution, we cannot use the assign command as we have in the past.
Christopher T. J. Dodson   +1 more
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