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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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An Elementary Treatise on Algebra: Theoretical and Practical ...

James Ryan - Algebra - 1826 - 430 pages
...final equation of a <\via&T«X\<; fotux. PRODUCING QUADRATIC EQUATIONS. 307 Prob. 4. It is required to find three numbers, such, that the product of the first and second, added to the gum of their squares, shall be equal to 37 ; the product of the first and third added...
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An Elementary Treatise on Algebra, Theoretical and Practical ...

James Ryan, Robert Adrain - Algebra - 1835 - 388 pages
...learned by experience), so as to have the final equation of a quadratic form. PROS. 4. 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 equal to 37 ; the product of the first and third added...
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An Elementary Treatise on Algebra, Theoretical and Practical ...

James Ryan - Algebra - 1838 - 412 pages
...learned by experience), so as to leave the final equation of a quadratic form. PROB. 4. 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 equal to 37 ; the product of the first and third added...
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An Algebra Upon the Inductive Method of Instruction

John H. Harney - Algebra - 1840 - 298 pages
...their cubes = 17:»9, and their continued product = 385, to find the numbers. 15. It is required to find three numbers, such that the product of the first and second subtracted from the sum of their squares shall be equal to 13, the product of the first and third subtracted...
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An Elementary Treatise on Algebra, Theoretical and Practical: Adapted to the ...

James Ryan - Algebra - 1843 - 406 pages
...by experience), so as to leave, the final equation of a quadratic form. PROB. 4. 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 equal to 37 ; the product of the first and third added...
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A Key Containing the Statements and Solutions of Questions in Davies ...

Charles Davies - Algebra - 1846 - 112 pages
...the 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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A Treatise on Algebra

Elias Loomis - Algebra - 1846 - 376 pages
...dollars less for each. How many did he buy? . , J 2ab + We Ans. — Ъ + V . Prob. 14. It is required to find three numbers such that the product of the first and second may be 15, the product of tke first and third 21, and the sum of the squares of the second and third...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1848 - 302 pages
...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 and third, added to the...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1848 - 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 b; and the sum of the squares of...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1850 - 292 pages
...product of the mean by the sum of the extrrnies 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 and third, added to th'e...
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