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" Find two numbers whose" product is equal to the difference of their squares, and the sum of their squares equal to the difference of their cubes. "
Mathematical Recreations: Containing Solutions of Many Very Difficult and ... - Page 8
by Horatio Nelson Robinson - 1851 - 86 pages
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A Theoretical and Practical Treatise on Algebra ...: Designed for Schools ...

Horatio Nelson Robinson - Algebra - 1851 - 346 pages
...shall be b. Ans. Greater part Less part '31. Find two numbers, such that their product shall be equai to the difference of their squares, and the sum of their squares shall be equal to the difference of their cubes. Ans. ±5^/5" and |(5±^/5)". SECTION V. ARITHMETICAL...
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Ray's Algebra Part Second: An Analytical Treatise, Designed for High Schools ...

Joseph Ray - Algebra - 1852 - 408 pages
...squares shall be all equal to each other. Ans. I+i^/5. "id a+sV^ 12. Find two numbers whose product is equal to the difference • '• * of their squares, and the sum of their squares equal to the differ ence of their cubes. Ans. 1^/5, and 4(5+^5). .,'.'• ! T3. "A grocer sold 80 pounds of mace...
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Key to Robinson's Algebra: Containing Also a Short Treatise on the ...

Horatio Nelson Robinson - 1852 - 136 pages
...ж=20. And the numbers will be 320, 80, and 41. 9. Find two numbers, such that their difference may be equal to the difference of their squares, and the sum of their squares shall be a square number. Let x and y be the numbers. Then x — y=x2 — y2. Divide by ж — y, and...
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Key to Robinson's Algebra: Containing, Also, a Short Treatise on the ...

Horatio Nelson Robinson - 1853 - 150 pages
...z=20. And the numbers will be 320, 80, and 41. 9. Find two numbers, such that their difference may be equal to the difference of their squares, and the sum of their squares shall be a square number. Let x and y be the numbers. Then x — y=x2 — y'. Divide by x — y, and...
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The Popular Educator, Volume 5

1856 - 428 pages
...in the Interesting science of algebra. PIIOBI.BM.— Required two numbers such that their product is equal to the difference of their squares, and the sum of their square« equal to the difference of their cubo«. ON PHYSICS, OR NATURAL PHILOSOPHY. No. XXXI. (Continued...
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An Elementary Treatise on Algebra, Theoretical and Practical

John Radford Young - 1857 - 324 pages
...52, and the sum of the extremes is to the mean as 10 to 3. What are the numbers ? Ans. 4, 12, and 36. shall be equal to the difference of their squares,...their squares equal to the difference of their cubes. 54- V5 ,V5 Ans. - — , and ——- 13. The product of five numbers in arithmetical progression is...
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Ray's Algebra, Part Second: An Analytical Treatise, Designed for ..., Part 2

Joseph Ray - Algebra - 1857 - 408 pages
...squares shall be all equal to each other. Ans. I+is/5, and i+^57 12. Find two numbers whose" product is equal to the difference of their squares, and the...their squares equal to the difference of their cubes. Ans. A^/5, and -1(5+^/5). 13. A grocer sold 80 pounds of mace and 100 pounds of cloves for 65 dollars...
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A Theoretical and Practical Treatise on Algebra: ... Designed for Schools ...

Horatio Nelson Robinson - Algebra - 1858 - 372 pages
...Greater part s+o( «* — *V*V"* VX Less part — — -f a2 — 31. Find two numbers, such that their product shall be equal to the difference of their squares, and the sum of their squaree shall be equal to the difference of their cubes. An». SECTION V. ARITHMETICAL PROGRESSION....
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New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - Algebra - 1863 - 432 pages
...squares, are all equal to each other. Ans. 4(3±v/5), and К1*!/5)49. Find two numbers, such that their product shall be equal to the difference of their squares, and the sum of their squares shall be equal to the difference of their cubes. Ans. ±ii/5> and г PROPORTION. 265 SECTION VI. PROPORTION....
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Key to Robinson's University Algebra: Containing, Also, a Short Treatise on ...

Horatio Nelson Robinson - Algebra - 1863 - 140 pages
...ж=20. And the numbers will be 320, 80, and 41. 9. Find two numbers, such that their difference may be equal to the difference of their squares, and the sum of their squares shall be a square number. Let x and y be the numbers. Then x — y^=x2 — y2. Divide by ж — y,...
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