 | Elias Loomis - Algebra - 1846 - 380 pages
...equation is equal to the sum of all the roots with their signs changed. 2. The coefficient of the third term is equal to the sum of the products of all the roots taken two and two. 3. The coefficient of the fourth term is equal to the sum of the products of all the roots... | |
 | Elias Loomis - Algebra - 1846 - 376 pages
...equation is equal to the sum of all the roots with their sign2 changed. 2. The coefficient of the third term is equal to the sum of the products of all the roots taken two and two. 3. The coefficient of the fourth term is equal to the sum of the products of all the roots... | |
 | Joseph Ray - Algebra - 1852 - 366 pages
...x— 2+73=0. " 2— 73)(x— 2+73) 1=0. (8) It has been shown, see Art. 398, that the coefficient ci the fourth term is equal to the sum of the products...changed. The roots with their signs changed are +2, +1, — 1, — 3, (6) ж=1 — 4, and the sum of their products taken thrfn and three is (2 XIX—... | |
 | Joseph Ray - Algebra - 1852 - 408 pages
...equation, is equal to the sum of all the roots, with their signs changed. 2. The coefficient of the third term is equal to the sum of the products of all the roots taken two and two, 3. The coefficient of the fourth term is equal to the sum of the products of all the roots... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 476 pages
...equal to the sum4 of the products of the roots, taken two together, with their signs changed. (3). The coefficient of the fourth term is equal to the sum of the products of the roots, taken three together, with their signs changed, and so on. (4). The last term... | |
 | Elias Loomis - Algebra - 1855 - 356 pages
...equation is equal to the sum of all the roots> with their signs changed. 2. The coefficient of the third term is equal to the sum of the products of all the roots taken two and two. 3. The coefficient of the fourth term is equal to the sum of the products of all the roots... | |
 | Noble Heath - 1855 - 468 pages
...equal to the sum of the different products, or combinations of the same second terms taken 2 by '2 ; the coefficient of the fourth term is equal to the sum of the different products or combinations, 3 by 3. Pursuing the analogy, we may say that the coefficient of... | |
 | Noble Heath - Arithmetic - 1856 - 472 pages
...equal to the sum of the different products, or combinations of the same second terms taken 2 by 2 ; the coefficient of the fourth term is equal to the sum of the different products or combinations, 3 by 3. Pursuing the analogy, we may say that the coefficient of... | |
 | John Radford Young - 1857 - 324 pages
...of the third term is equal to the sum of the 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... | |
 | James B. Dodd - Algebra - 1859 - 368 pages
...the sum of all the roots of the equation, with their signs changed. 2. The co-efficient of the third term is equal to the sum of the products of all the roots combined two and two, with their signs changed, &c. 3. The known or absolute term is equal to the product... | |
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The coefficient of the third term is equal to the sum of the products of all the roots taken two and two. 
