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" Ans. 15 and 26. 31. What two numbers are they, whose sum is a, and the sum of whose squares is b 1 Ans. "
An Elementary Treatise on Algebra: To which are Added Exponential Equations ... - Page 172
by Benjamin Peirce - 1860 - 284 pages
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A Treatise on the Elements of Algebra: Designed for the Use of Eton School

John Bayley (fellow of Emmanuel College, Cambridge.) - Algebra - 1830 - 428 pages
...number is that whose square exceeds its simple power by 306 ? Answer, 18. 95. What numbers are those whose sum is 41, and the sum of whose squares is 901 ? Answer, 26 and 15. 96. What numbers are those whose difference is 8, and the sum of whose squares...
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A Collection of Arithmetical and Algebraic Problems and Formulae

Meyer Hirsch - Algebra - 1831 - 362 pages
...the women the same sum. Now, on inspecting the bill, it is found that the men have to pay one dollar each more than the women. How many men, therefore, were there in the company ? Ans. 8. 33) A person buys a horse, and pays a certain sum for it ; he afterwards sells it again for...
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Exercises in Algebra: Being Systematically Arranged and Adapted to the ...

Francis Joseph Grund - Algebra - 1833 - 224 pages
...whence it is easy to form an equation ; and if x is once determined, the rest follows of course. 26) What two numbers are they, whose sum is 41, and the sum of whose squares is 901 '? Remark. Let x and y respectively represent the two numbers. Then x -\-y = 41 (A) and Za _|_ 3,2...
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An Elementary Treatise on Algebra: To which are Added Exponential Equations ...

Benjamin Peirce - Algebra - 1837 - 300 pages
...$24, and the women the same sum. Now, on inspecting the bill, it is found that the men have to' pay $1 each more than the women. How many men, therefore, were there in the company 1 Ans. 8. 22. What two numbers are they, whose sum is 41, and the sum of whose squares is 901 ? Ans. 15 and 26....
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An Elementary Treatise on Algebra: To which are Added Exponential Equations ...

Benjamin Peirce - Algebra - 1837 - 300 pages
...$24, and the women the same sum. Now, on inspecting the bill, it is found that the men have to pay $1 each more than the women. How many men, therefore, were there in the company ? Ans. 8. 22. What two numbers are they, whose sum is 41, and the sum of whose squares is 901 ? Ana....
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An Elementary Treatise on Algebra

Benjamin Peirce - Algebra - 1851 - 294 pages
...remaining child receives $ 1950 more than it was entitled to by the will, how many children were there? Ans. 8. Examples of Equations of the Second Degree....What two numbers are they, whose sum is a, and the sum of whose squares is 6 ? Ans. Ja-f-Jv/(2& — a 2 ), and Ja — J (2 V 6 — a«). In what case...
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An Introduction to Algebra, and to the Solution of Numerical Equations

John Radford Young - 1851 - 266 pages
...difference is 9, and such, that their sum multiplied by the greater produces 266. (6) Find two numbers whose sum is 41, and the sum of whose squares is 901. (7) Divide 20 into two parts, such that the product of the whole and one of the parts may be equal...
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Ray's Algebra Part Second: An Analytical Treatise, Designed for High Schools ...

Joseph Ray - Algebra - 1852 - 408 pages
...its square root gives 132 ? ATM. 121. 11. What number exceeds its square root by 48| ? Ans. 56*. 12. What two numbers are they, whose sum is 41, and the sum of whose squares is 901 7 Ans. 15 and 26. 14. A merchant sold a piece of cloth for 24 dollars, and gained as much per cent,...
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An Elementary Treatise on Algebra: To which are Added Exponential Ewquations ...

Benjamin Peirce - Algebra - 1855 - 296 pages
...$24, and the women the same sum. Now, on inspecting the bill, it is found that the men have to pay Examples of Equations of the Second Degree. $ 1 each...whose sum is 41, and the sum of whose squares is 901 1 Ans. 15 and 26. 31. What two numbers are they, whose sum is a, and the sum of whose squares is b...
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An Elementary Treatise on Algebra: To which are Added Exponential Ewquations ...

Benjamin Peirce - Algebra - 1855 - 308 pages
...same sum. Now, on inspecting the bill, it is found that the men have to pay Examples of Equations nf the Second Degree. $ 1 each more than the women. How many men, therefore, were there in the company? Ans. 8. 30. What two numbers are they, whose sum is 41, and the sum of whose squares is 901 ? Ans....
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