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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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The Elements of Algebra

Elias Loomis - Algebra - 1856 - 280 pages
...the first sum shall be to the second as the second to the third ? Ans. 2. Prob. 75. It is required to find three numbers such that the product of the first and second may be 24, the product of the first and third 32, and the sum of the squares of the second and third...
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Ray's Algebra, Part Second: An Analytical Treatise, Designed for ..., Part 2

Joseph Ray - Algebra - 1857 - 408 pages
...interest for 3 months, the product is 720. What is the sum lent ? 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 =J, and the sum of the squares of the second and third =c. a'+b*...
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A Treatise on Algebra

Elias Loomis - Algebra - 1858 - 394 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 - 1858 - 120 pages
...value of x+z, taken from equation (1.), we have y(13—y)=30, or 13y—y"=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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New Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1859 - 324 pages
...greater by 7 than the difference oetweeii the third and second. Ans. 8, 15, and 20. 24. 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 b ; and the sum of the squares of...
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New Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1859 - 324 pages
...each other 3tí иг to n, and the difference of whose squares is b ? Ans. —== 2 n" 22. Required to find three numbers, such that the product of the first and second shall be equal to 2 ; the product of the first and third equal to 4, and the sum of the squares of...
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New Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1860 - 328 pages
...which are to each other as m to n, and the difference of whose squares is b ? Ans. 22. Required to find three numbers, such that the product of the first and second shall be equal to 2 ; the product of the first and third equal to 4, and the sum of the squares of...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1860 - 330 pages
...the product of the mean by the sum of the extremes is 30 What are the numbers? 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 ani third, added to the...
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The Institutes of Algebra: Being the First Part of a Course of Mathematics

Gerardus Beekman Docharty - Algebra - 1862 - 336 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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The Elements of Algebra: Designed for Beginners

Elias Loomis - Algebra - 1862 - 312 pages
...pay $4.50 a week. At what rate was the pasture hired ? Ans. $6 a week. Prob. 10. It is required to find three numbers such that the product of the first and second may be 24, the product of the first and third 32, and the sum of the squares of the second and third...
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