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" Dimerrfions, it cannot be anfwered by any of the Methods before laid down ; and therefore we muft have Recourfe to fome other Method; which is by completing the Square, and is performed by the following . Rule. Add the Square of half the Co-efficient... "
Arithmetic in Whole and Broken Numbers: Digested After a New Method, and ... - Page 276
by Elias Voster - 1792 - 280 pages
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Practical Arithmetic: In Four Books ... Extracted from the Large and Entire ...

John Gough - Arithmetic - 1813 - 358 pages
...fides of the Equation by a.'.x b* ' ——,and fo for any other, a When a Problem hath two Dtmenfions, it cannot be anfwered by any of the Methods before...performed by the following Rule Add the Square of half the Co-effieient of the unknown quantity to both fides of the Equation, and the Square will be complete,...
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An Elementary Treatise on Algebra: Theoretical and Practical ...

Horatio Nelson Robinson - Algebra - 1846 - 276 pages
...in the form of x3±2ax=±6, we may render the first member a complete square, and effect a solution by the following , RULE. Add the square of half the coefficient of the lowest power of the unknown quantity to the first member to complete Us square ; add the same to the...
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An Elementary Treatise on Algebra: Designed as First Lessons in that Science

Horatio Nelson Robinson - Algebra - 1850 - 256 pages
...when the exponent of the unknown quantity in the first term w double of that in the other, we have the following RULE . — Add the square of half the coefficient of the lowest power of the unknown quantity. EXAMPLES. Complete the squares in the following equations : NB...
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A mathematical course for the University of London. (2nd)

Thomas Kimber - Mathematics - 1865 - 302 pages
...equation must be reduced, previous to applying the rule. II. and III. give the algebraic explanation of the following rule : Add the square of half the coefficient of the second term to both sides of the equation. Extract the square root of each side, and from the resulting...
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