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الكتب الكتب 1 - 10 من 42 فيIn any equation in its simplest form the coefficient of the second term is equal....
" In any equation in its simplest form the coefficient of the second term is equal to the sum of the roots with their signs changed ; the coefficient of the third term is... "
New series of The mathematical repository - الصفحة 123
بواسطة Thomas Leybourn - 1830
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Traité methodique et abregé de toutes les mathematiqves

Charles de Neuvéglise - 1700
...; for from the algebraical Expreffions of the Quantities and the binomial Theorem, it appears that the Coefficient of the third Term is the Sum of the Products of the Roots, taken two by iwo ; whence its Square is equal to the Sum of the Squares of the Produâs...
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A portable cyclopædia; or, Compendious dictionary of arts and sciences

C T. Watkins - 1810
...The coefficient of Ihc first term is f. The rocmcitnt of the second term is the sum of ihe гном with their signs changed. The coefficient of the third term is the sum ot all the products made by multiplying iiny two of the roots together, 1 he свешаем of the...
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The young man's best companion, and book of general knowledge

L. Murray - 1821
...equation. 2. The coefficient of the first term is 1. The coefficient of the second term is the sum of tiie roots with their signs changed. The coefficient of the third term is the sum of all the products made by multiplying any two of the roots together. The coefficient of the fourth term...
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A Practical System of Algebra: Designed for the Use of Schools and Private ...

Peter Nicholson - 1831 - عدد الصفحات: 316
...term, are the second terms or parts of the binomial factors, of •which the equation is the product ; the coefficient of the third term is the sum of the products of every two of these second parts, the coefficient of the fourth term is the sum of the products of every three...
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An Elementary Treatise on Algebra, Theoretical and Practical: With Attempts ...

John Radford Young - 1832 - عدد الصفحات: 352
...and negative roots*. PROPOSITION v. The coefficient of the second term in any equation is equal to the sum of the roots with their signs changed ; the coefficient of the third term is equal to the sum of the products of every two roots with their signs changed ; the coefficient of the...
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On the theory and solution of algebraical equations

John Radford Young - 1835
...term, or highest power of x, has the coefficient unity, the coefficient of the second term is equal to the sum of the roots with their signs changed; the coefficient of the third term is equal to the sum of the products of every two roots with their signs changed ; the coefficient of the...
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Mathematical problems and examples, arranged according to subjects, from the ...

1836
...one positive, the other negative. 66. The coefficient of the second term of an equation, with 1833 its proper sign, is the sum of the roots with their...products of every two roots with their signs changed, &c., and the last term is the product of all the roots with their signs changed. 67. Find a number...
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The Elements of Algebra: Designed for the Use of Students in the University

John Hind - 1837 - عدد الصفحات: 539
...+ ac + be) a; - abc = 0. Hence, conversely as in article (143), the coefficient of the second term, with its proper sign, is the sum of the roots with...products of every two roots with their signs changed, and the coefficient of the last term is the product of all the roots with their signs changed. Similar...
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Treatise on the elements of algebra

James Bryce - 1837
...with its sign changed ; the coefficient of the second term is their sum with its sign changed, and the coefficient of the third term is the sum of the products of the roots taken by pairs ; and the same holds true of every cubic equation, with whatever signs the...
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An Elementary Treatise on Algebra, Theoretical and Practical: With Attempts ...

John Radford Young - 1839
...change, and one positive PROPOSITION V. The coefficient of the second term in any equation is equal to the sum of the roots with their signs changed ; the coefficient of the third term is equal to the sum of the products of every two roots with their signs changed ; the coefficient of the...
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