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" 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. "
The boys' algebra - Page 95
by James Cahill (of Dublin.) - 1875 - 209 pages
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An Elementary Algebra

Daniel Barnard Hagar - Algebra - 1873 - 278 pages
...the powers of some letter. Find the greatest square root of the first term, and place it at the right for the first term of the required root, and subtract its square from the given polynomial. Divide the first term of the remainder by double the root already found, and annex the...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 426 pages
...the terms of the given quantity according to the ascending or descending powers of some letter, and take the square root of the first term for the first term of the quotient. 2. Subtract the square of the quotient, and bring down the next two terms of the given quantity....
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Algebra to Quadratic Equations, for Elementary and Middle Class Schools

Edward Atkins - Algebra - 1875 - 152 pages
...the terms of the given quantity according to the ascending or descending powers of some letter, and take the square root of the first term for the first term of the quotient. 2. Subtract the square of the quotient, and bring down the next two terms of the given quantity....
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New University Algebra

Horatio Nelson Robinson - Algebra - 1875 - 430 pages
...following general RTTLE. — I. Arrange the terms according to the powers of some letter, and write the square root of the first term for the first term of the root. II. Subtract the square of the root thus found from the given quantity, and bring down two or...
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Manual of Algebra

William Guy Peck - Algebra - 1875 - 348 pages
...found; hence, the following RULE. J. Arrange the polynomial with reference to some letter, and extract the square root of the first term for the first term of the root. Subtract the square of this term from the polynomial for the first remainder. II. Double the...
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Elements of algebra

Edward Atkins - Mathematics - 1876 - 378 pages
...the terms of the given quantity according to the ascending or descending powers of some letter, and take the square root of the first term for the first term of the quotient. 2. Subtract the square of the quotient, and bring down the next two terms of the given quantity....
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Key to New Practical Algebra, for Teachers

James Bates Thomson - 1877 - 286 pages
...1 % 1 го го t 1 1 1 FACTORING. Page 284. 1. i* — gx + 20 = (x — 4) (x — 5), Ans. Es tract the square root of the first term for the first term of the factors ; resolve the third term into two factors, whose sum is the coefficient of the second term,...
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New Practical Algebra: Adapted to the Improved Methods of Instruction in ...

James Bates Thomson - Algebra - 1878 - 322 pages
...wf—yt—i. Hence, the RULE. — I. A rrange the terms according to the powers of some letter, find the square root of the first term for the first term of the root, and subtract its square from the given quantity. II. Divide the remainder by double the root...
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Elementary Algebra: Designed as a First Book of Algebra for All Grades of ...

Thomas K. Brown - Algebra - 1879 - 292 pages
...Arrange the terms regularly with reference to the powers of one of the letters, as for division. UN II. Take the square root of the first term, for the first term of the root. Square this, and subtract from the quantity. III. Take twice the root already found for a trial...
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College Algebra: For the Use of Academies, Colleges, and Scientific Schools ...

Edward Albert Bowser - Algebra - 1888 - 868 pages
...polynomial, we have the following RULE. Arrange the terms according to the poivers of some letter; find the square root of the first term for the first term of the square root; place this on the right, and subtract its square from the given polynomial. Double the...
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