 | Alexander Ingram - Mathematics - 1830 - 458 pages
...x'—Sxa + a1. *• ; 6. , 78. TO EXTRACT ANY OTHER ROOT. Arrange the terms as in Division ; take the root of the first term for the first term of the root ; raise this root to a power less by one than the given power, and multiply it by the name of the root... | |
 | Benjamin Peirce - Algebra - 1837 - 302 pages
...square root of a given polynomial. Arrange its terms according to the powers of some letter, extract the square root of the first term for the first term of the root. Double the part of the root thus found for a divisor, subtract the» square of this part of the root... | |
 | Benjamin Peirce - Algebra - 1837 - 300 pages
...square root of a given polynomial. Arrange its terms according to the powers of some letter, extract the square root of the first term for the first term of the root. Double the part of the root thus found for a divisor, subtract the square of this part of the 'root... | |
 | Wales Christopher Hotson - 1842 - 306 pages
...3fl62 + 43 (a + 6 a3 The terms being arranged according to the powers of some letter, we find the cube root of the first term for the first term of the root, and subtract its cube : then take three times its square for an imperfect divisor, and divide the first term of the... | |
 | Alexander Ingram - 1844 - 262 pages
...ROOT OF A COMPOUND QUANTITY. Arrange the terms according to the dimensions of some letter in them, and take the square root of the first term for the first term of the root; subtract its square from the given quantity, and bring down the two next terms to the remainder for... | |
 | Samuel Alsop - Algebra - 1846 - 300 pages
...expressed thus : Having arranged the terms commencing with the highest power of one of the quantities, Take the square root of the first term for the first term of the root. Subtract it» square from the given quantity, and set down the remainder, for a dividual. Divide the... | |
 | Samuel Alsop - Algebra - 1848 - 336 pages
...expressed thus : Having arranged the terms commencing with the highest power of one of the quantities, Take the square root of the first term for the first term of the root. Subtract its square from the given quantity, and set down the remainder, for a dividual. Divide the... | |
 | Stephen Chase - Algebra - 1849 - 348 pages
...RULE. § 178. 1. Arrange the polynomial according to t/ir powers of some letter. 2. Extract the cube root of the first term, for the first term of the root, and subtract its cube. 3. Divide the first term of the arranged remainder by three times the square of the first term... | |
 | Elias Loomis - Algebra - 1855 - 356 pages
...EXTRACTING THE SQUARE ROOT OF A POLYNOMIAL. Arrange the terms according to the powers of some one letter ; take the square root of the first term for the first term of the required root, and subtract its square from the given polynomial. Divide the first term of the remainder... | |
 | Benjamin Peirce - Algebra - 1855 - 308 pages
...square root of a given polynomial. Arrange its terms according to the powers of some letter, extract the square root of the first term for the first term of the root. Double the part of the root thus found. for a divisor, subtract the square of this part of the root... | |
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Arrange the terms according to the powers of some letter. Extract the square root of the first term, write the result as the first term of the root, and subtract its square from the polynomial. 
