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" Find three numbers such, that the product of the first and second is 6, that of the first and third is 10, and the sum of the squares of the second and third is 34. Ans. 2, 3, 5. "
An Elementary Treatise on Algebra: To which are Added Exponential Equations ... - Page 157
by Benjamin Peirce - 1837 - 284 pages
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1851 - 300 pages
...and 3J times more of the third than of the second. How many pounds had he of each ? 8. Required to find three numbers, such, that the product of the first and second shall be equal to a ; the product of the first and third equal to I; and the sum of the squares of...
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The Institutes of Algebra: Being the First Part of a Course of Mathematics ...

Gerardus Beekman Docharty - Algebra - 1852 - 298 pages
...number of dollars in the interest for 5 months, we obtain 117041f . What is the capital ? Ans. $2650. 7. Find three numbers such that the product of the first...squares of the second and third is 34. Ans. 2, 3, 5. 8. What two numbers are they the sum of whose squares is a, and the difference of whose squares is...
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Ray's Algebra Part Second: An Analytical Treatise, Designed for High ..., Part 2

Joseph Ray - Algebra - 1852 - 408 pages
...the interest for 3 months, the product is 720. What is the sum lent ? Ans. $24 14. It is required to find three numbers, such that the product of the first and second =a, the product of the first and third =i, and the sum of the squares of the second and third =c. 15....
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Ray's Algebra, Part Second: An Analytical Treatise, Designed for ..., Part 2

Joseph Ray - Algebra - 1852 - 422 pages
...the interest for 3 months, the product is 720 What is the sum lent 1 Ans. $240. 14. It is required to find three numbers, such that the product of the first and second =a, the product of the first and third =6, and the sum of the squares of the second and third =c. 15....
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A Treatise on Algebra

Elias Loomis - Algebra - 1852 - 366 pages
...and the sum of the squares of the second and third 74. Ans. 3, 5, and 7. Prob. 15. It is required to find three numbers such that the product of the first and second may be a, the product of the first and third b, and the sum of the squares of the second and third...
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A Key Containing the Statements and Solutions of Questions in Davies ...

Charles Davies - 1854 - 128 pages
...the least common divisor, we have, 9x 2 +16a; a +196r J =49725, and 3^=225, or x=l5; 8. Required to find three numbers, such, that the product of the first and second shall be equal to a ; the product of the first and third equal to 6; and the sum of the squares of...
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A Treatise on Algebra

Elias Loomis - Algebra - 1855 - 356 pages
...and the sum of the squares of the second and third 74. Ans. 3, 5, and 7. Prob. 15. It is required to find three numbers such that the product of the first and second may be a, the product of the first and third b, and the sum of the squares of the second and third...
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Exercises and problems in algebra [by J. Pryde] with answers

James Pryde - 1855 - 136 pages
...(2), gives f = ab ; .-. у = (2) X (3), » ¿ = be; .-.z = and (3) X (])> n х-= ас; .-. х = 17. Find three numbers such that the product of the first and second, divided by their sum, shall = ^ ; the product of the second and third, divided by their sum, shall...
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Exercises and problems in algebra [by J. Pryde] with answers. without answers

James Pryde - 1855 - 70 pages
...the first, shall = b ; and the product of the third and first, divided by the second, shall = c. 17. Find three numbers such that the product of the first and second, divided by their sum, shall = ^; the product of the second and third, divided by their sum, shall =...
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A Key, Containing the Statements and Solutions of Questions in Davies ...

Charles Davies - Algebra - 1856 - 116 pages
...value of x-^-z, taken from equation (1.), we have y(13-y)=30, or I3y-y a =30, 12. It is required to find three numbers, such, that the product of the first and second, added to the sum of their squares, shall be 37 ; and the product of the first and third, added to the...
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