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" RULE. Transpose all the terms that involve the unknown quantity to one side of the equation, and the known terms to the other... "
A Course of Mathematics: In Two Volumes. For the Use of Academies, as Well ... - Page 221
by Charles Hutton - 1818 - 558 pages
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An Introduction to Algebra: With Notes and Observations, Designed for the ...

John Bonnycastle - Algebra - 1825 - 336 pages
...mentioned , may be resolved by means of the following rule : RULE. Transpose all the terms that involve the unknown quantity to one side of the equation, and the known terms to the other ; observing to arrange them so that the term which contains the square of the unknown quantity may...
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A Concise System of Mathematics ...

Alexander Ingram - Mathematics - 1830 - 458 pages
...+ to — , or from — to -(-. In this way the terms containing the unknown quantity may be brought to one side of the equation, and the known terms to the other; after which they may be collected into one by addition. COR. — If a term be found on both sides with...
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An Elementary Treatise on Algebra, Theoretical and Practical: With Attempts ...

John Radford Young - Algebra - 1832 - 408 pages
...one unknown quantity. (9.) Clear the equation of fractions, if there be any. Bring the unknown terms to one side of the equation, and the known terms to the other. Collect each side into one term, and the unknown quantity, with a known coefficient, will form one...
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An Elementary Treatise on Algebra, Theoretical and Practical: With Attempts ...

John Radford Young - 1839 - 332 pages
...operations to be performed may be expressed at length as follow : (88.) Bring all the unknown terms to one side of the equation, and the known terms to the other ; Divide each side of the equation by the coefficient of the unknown square, if it have a coefficient...
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A Practical System of Algebra in Theory and Practice in Two Parts: With a ...

John D. Williams - Algebra - 1840 - 216 pages
...of fractions by rule 3, and of radicles by rule 4; second, transpose the unknown terms or quantities to one side of the equation, and the known terms to the other, by rule 1. Collect each side into one term, and the unknown quantities, with a known coefficient, will...
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An Elementary Treatise on Algebra, in Theory and Practice: With Attempts to ...

John D. Williams - Algebra - 1840 - 634 pages
...fractions by rule 3, and of radicles by rule 4 ; second, transpose the unknown terms or quantities to one side of the equation, and the known terms • to the other, by rule 1. Collect each side into one term, and the unknown quantities, with a known coefficient, will...
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A Treatise on Algebra: Arithmetical algebra

George Peacock - Algebra - 1842 - 426 pages
...Q8x = 780 - 378 (2), 67x = 402 (3), 402 R fA^ *=w=6 (4)When the unknown terms have been transposed to one side of the equation and the known terms to the other (1), we add together the terms, on each side, which have the same sign (2), subtract the resulting...
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Elements of algebra, by A. Ingram and J. Trotter

Alexander Ingram - 1844 - 262 pages
...from + to — , or from — to+. In this way the terms containing the unknown quantity may be brought to one side of the equation, and the known terms to the other ; after which they may be collected by addition. COR. If a term be found on both sides with the same...
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The first principles of algebra, for the use of the boys of the Royal ...

Admiralty - 1845 - 152 pages
...unknown quantity. 62. Rule. — Clear the proposed equation from fractions, if it has any. Transpose the terms which contain the unknown quantity to one side of the equation, and the known quantities to the other. Divide both sides of the equation by the coefficient, or sum of the coefficients,...
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The elements of algebra, with additions by W. Galbraith and W. Rutherford

John Bonnycastle - 1848 - 334 pages
...for the solution of a quadratic of the form x- + ax r= 6. Rule. — Transpose all the terms involving the unknown quantity to one side of the equation, and the known terms to the other, and let the term which contains the square of the unknown quantity be positive, and stand first in...
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