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" The sum of the squares of the extremes of four numbers in arithmetical progression is 200, and the sum of the squares of the means is 136. What are the numbers ? Ans. "
An Elementary Treatise on Algebra: To which are Added Exponential Equations ... - Page 206
by Benjamin Peirce - 1837 - 284 pages
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1820 - 352 pages
...y)> Therefore x = 3, y = 1, and the number is 234. Prob. 6. The sum of the squares of the extremes of four numbers in arithmetical progression is 200 ; and the sum of the squares of the means is 136. What are the numbers ? Prob. 7. There are four numbers in arithmetical progression,...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Geometry - 1821 - 898 pages
...above, and y = ± i ; hence the numbers are 1 1, g, 7, 5. 5. The sum of the squares of the extremes of four numbers in arithmetical progression is 200, and the sum of the squares of the means is 136. What are the numbers ? Supposing as before, x + зу, x + y, x — y, and x — зу,...
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Algebraical Problems, Producing Simple and Quadratic Equations, with Their ...

Miles Bland - Algebra - 1824 - 404 pages
....•./=i; . and 'y — + 1 ; hence the numbers are П, 9, 7, 5. 5. The sum of the squares of the extremes of four numbers in arithmetical progression is 200, and the sum of the squares of the means is 1 36. What are the numbers ? Supposing as before, x + 3y, x+y, x—y, and x - 3y, to be...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1827 - 352 pages
...And lllx Therefore x=3, y=l, and the number is 234. Prob. 6. The sum of. the squares of the extremes of four numbers in arithmetical progression is 200 ; and the sum of the squares of the means is 136. What are the numbers ? * Prob. 7. There are four numbers in arithmetical progression,-whose...
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Elements of Algebra

William Smyth - Algebra - 1830 - 278 pages
...They will meet in 10, and also in 33 days. ;B. The sum of the squares of the extremes of fourjmmbers in arithmetical progression is 200, and the sum of the squares of the means is 136. What are the numbers ? Ans. 14, 10, 6, 2 or — 14, — 10, — 6, — 2. 9. The...
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An Elementary Treatise on Algebra, Theoretical and Practical: With Attempts ...

John Radford Young - Algebra - 1832 - 408 pages
...What are the numbers ? Ans. The numbers are 11, 9, 7, 5. 19. The sum of the squares of the extremes of four numbers in arithmetical progression is 200, and the sum of the squares of the means is 136. What are the numbers? Ans. The numbers are ± 14, ± 10, ± 6, i 2. 20. The sum of...
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Elements of Algebra

William Smyth - Algebra - 1833 - 288 pages
...they meet ? Ans. They will meet in 10, and also in 33 days. 8. The sum of the squares of the extremes of four numbers in arithmetical progression is 200, and the sum of the squares of the means is 136. What are the numbers ? Ans. 14, 10, 6, 2, or — 14, — 10, — 6, — 2. 9. The...
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Elements of Algebra

William Smyth - Algebra - 1836 - 288 pages
...they meet ? Ans. They will meet in 10, and also in 33 days. 8. The sum of the squares of the extremes of four numbers in arithmetical progression is 200, and the sum of the square! of the means is 136. What are the numbers ? Ans. 14, 10, 6, 2, or-— 14, — 10, — 6, —...
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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

James Bates Thomson - Algebra - 1844 - 266 pages
...number=100(zy)+10a;-f(a;+y)=:lll2;-99y, &c. V , ' Prob. 29. The sum of the squares of the extremes of four ? numbers in arithmetical progression is 200; and the sum of (, ,' ' ', the squares of the means is 136. What are the numbers 1 ''• Prob. 30. There are four numbers in arithmetical progression...
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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

Jeremiah Day, James Bates Thomson - Algebra - 1848 - 264 pages
...Then the number=100(xy)+ 10*+(a;-|-y)=lllz-99y, &c. Prob. 29. The sum of the squares of the extremes of four numbers in arithmetical progression is 200 ; and the sum of the squares of the means is 136. What are the numbers 1 Prob. 30. There are four numbers in arithmetical progression...
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