 | John Radford Young - 1832 - 408 pàgines
...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 —... | |
 | John Radford Young - 1835 - 302 pàgines
...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.... | |
 | 1836 - 366 pàgines
...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,... | |
 | John Radford Young - 1839 - 332 pàgines
...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 —... | |
 | William Smyth - 1855 - 370 pàgines
...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.... | |
 | John Radford Young - 1857 - 324 pàgines
...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 —... | |
 | John Fair Stoddard, William Downs Henkle - 1859 - 538 pàgines
...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... | |
 | Charles Hutton - 1860 - 1020 pàgines
...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... | |
 | 1865 - 854 pàgines
...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... | |
 | James Robert Christie - 1866 - 428 pàgines
...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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... the sum of the products of every two roots with their signs changed ; the coefficient of the fourth term... 
