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" There are four numbers in arithmetical progression : the sum of the squares of the two first is 34 ; and the sum of the squares of the two last is 130. What are the numbers? "
An Elementary Treatise on Algebra: Theoretical and Practical - Page 452
by James Ryan - 1824 - 516 pages
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1820 - 352 pages
...progression is 1 5 ; and the sum of the square? of the two extremes is 58. VJ'hat are the numbers ? Prob. 4. There are four numbers in arithmetical progression : the sum of the squares ©f the two first is 34 ; and the sum of the squares of the two last is 130. What are the numbers ?...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Geometry - 1821 - 898 pages
...progression, whose sum is 23 ; and their continual product is 5S5. Required the numbers. Ans. l, 5, 9, 13. 1C. There are four numbers in arithmetical progression;...the third and fourth is 130. Required the numbers. Am. 3, 5, 7, 9. 17. The sum of £700 was divided among four persons, whose shares were in geometrical...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan, Robert Adrain - Algebra - 1824 - 542 pages
...sum is 28 ; and their continued product is 585. Required the numbers ? Ans. 1, 5, 9, 13. Prob. 16. There are four numbers in arithmetical progression...propositions. 496. Any quantity which from positive becomes wegative, and reciprocally, passes through zero, or infinity. in fact, in order that m, which is supposed...
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Algebraical Problems, Producing Simple and Quadratic Equations, with Their ...

Miles Bland - Algebra - 1824 - 404 pages
...progression, whose sum is 28; and their continual product is 585. Required the numbers. Ans. 1, 5, 9, 13. 16. There are four numbers in arithmetical progression;...fourth is 130. Required the numbers. Ans. 3, 5, 7, 9. 17- The sum of ¿£.700 was divided among four persons, whose shares were in geometrical progression;...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1827 - 352 pages
...progression is 15; and the sum of the squares of the two extremes is 58. What are the numbers? • Prob. 4. There are four numbers in arithmetical progression : the sum of the squares of the two first is 34 ; and the sum of the squares of the two last is 130. What are the numbers ? Ans. 3,...
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The student's algebra

John Darby (teacher of mathematics.) - 1829 - 212 pages
...progression, is 56, and the sum of their squares = 864. Required the numbers. Ans. 8, 12, 16, and 20. 6. Find four numbers in arithmetical progression, the sum of the squares of the means being 400, and the sum of the squares of the extremes 464. Ans. 8, 12, 16, and 20. 7. After A,...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1831 - 358 pages
...and the sum of the squares of the two extremes is 58. What are the numbers? ^, _-'-;• tf f Prob. 4. There are four numbers in arithmetical progression : the sum of the squares of the two first is 34; and the sum of the squares of the two last is 130. What are the numbers? Ans. 3, 5,...
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An Elementary Treatise on Algebra, in Theory and Practice: With Attempts to ...

John D. Williams - Algebra - 1840 - 634 pages
...; Л 4a: = 28, x=7, and also (з?— Эу4)^— y>)=585, and 9^—490^ -j- 2401= 685, ^=4. and 61. There are four numbers in arithmetical progression;...the third and fourth is 130. Required the numbers. Let x — 3y, x — у, x-\-y, and z+3y be the numbers ; then .-. =4*°+2(¥=164, and 3^=41 ; also...
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A Universal Key to the Science of Algebra: In which Some New Modes of ...

Horatio Nelson Robinson - Algebra - 1844 - 184 pages
...3d. Sum ac2 +6iy=153. Or x2 + 2*/=51. But Xs =27. 2^=24. Therefore, 1,3, and 5, are the numbers. 3. There are four numbers in arithmetical progression, the sum of the squares of the first two is 34, and the sum of the squares of the last two is 130. What are the numbers ? Ans. 3, 5, 7,...
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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

James Bates Thomson - Algebra - 1844 - 272 pages
...progression is 15, and the sum of the squares of the two extremes is 58 What are the numbers 1 Prob. 27. There are four numbers in arithmetical progression : the sum of the squares of the first two is 34 ; and the sum of the squares of the last two is 130. What are the numbers ] Prob. 28. A certain...
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