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" ... the sum of the products of every two roots with their signs changed ; the coefficient of the fourth term... "
A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ... - Side 310
av Charles William Hackley - 1847 - 503 sider
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An Elementary Treatise on Algebra, Theoretical and Practical: With Attempts ...

John Radford Young - 1832 - 408 sider
...products of every two roots with their signs changed ; the coefficient of the fourth term is equal to the sum of the products of every three roots with their signs changed, &c. ; and the last term is equal to the product of all the roots with their signs changed. Let (x —...
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On the theory and solution of algebraical equations

John Radford Young - 1835 - 302 sider
...products of every two roots with their signs changed ; the coefficient of the fourth term is equal to the sum of the products of every three roots with their signs changed; and so on: and the last term is equal to the product of all the roots with their signs changed. Cor....
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Mathematical Problems and Examples, Arranged According to Subjects, from the ...

1836 - 366 sider
...of the products of every two roots with their signs changed ; the coefficient of the fourth term is the sum of the products of every three roots with their signs changed, &c. &c. 34. Shew that the limiting equation has at least as many possible roots as the original equation,...
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An Elementary Treatise on Algebra, Theoretical and Practical: With Attempts ...

John Radford Young - 1839 - 332 sider
...products of every two roots with their signs changed ; the coefficient of the fourth term is equal to the sum of the products of every three roots with their signs changed, &c. ; and the last term is equal to the product of all the roots with their signs changed. Let (x —...
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Treatise on Algebra, for the Use of Schools and Colleges

William Smyth - 1855 - 370 sider
...the sum of all the roots with their signs changed. 3°. The coefficient of the fourth term will be the sum of the products of every three roots with their signs changed, and so on. 4°. The last, or absolute term will be the product of all the roots with their signs changed....
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An Elementary Treatise on Algebra, Theoretical and Practical

John Radford Young - 1857 - 324 sider
...products of every two roots with their signs changed ; the coefficient of the fourth term is equal to the sum of the products of every three roots with their signs changed, &c. ; and the last term is equal to the product of all the roots with their signs changed. Let (x —...
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The University Algebra ...

John Fair Stoddard, William Downs Henkle - 1859 - 538 sider
...the products of every two roots with their signs changed. 3. The coefficient of the fourth term is the sum of the products of every three roots with their signs changed. 4. In general the coefficient of the n"1 term is the sum of the products of every n — 1 roots with their...
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A Course of Mathematics: Composed for the Use of the Royal Military Academy

Charles Hutton - 1860 - 1014 sider
...products ot every two roots with their signs changed. (3) The coefficient of the fourth term will be the sum of the products of every three roots with...product of all the roots with their signs changed. Cor. 1. If the coefficient of the second term in any equation be 0, that is, if the second term be...
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Chambers's Encyclopaedia: A Dictionary of Universal Knowledge for the People ...

1865 - 856 sider
...signs changed. A„_, = the sum of the products of every two roots, with their signs changed. A„j = the sum of the products of every three roots, with their signs changed. A,, = the product of the roots, with their signs changed. The factors, it will be observed, are formed...
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A collection of elementary test questions in pure and mixed mathematics ...

James Robert Christie - 1866 - 426 sider
...roots, taken three and tfiree, with signs changed, and so on. The coefficient of ж°, or the last term, being the product of all the roots with their signs changed. Cor. 5. Every equation has the same number of roote as there are units in the highest exponent of the...
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