 | John Bonnycastle - Algebra - 1811 - 230 pages
...numbers, such that their sum shall be a cube number. An». 33, 43, and 53, or 2 13, I93, 183, &c. 35. To find two numbers such that their sum shall be equal to the sum of their cubes. Ans. % and %. OF THE SUMMATION AND INTERPOLATION OF INFINITE SERIES. The doctrine of infinite... | |
 | John Bonnycastle - Algebra - 1813 - 456 pages
...difference between every two of them and the third shall be a square number. Ans. 1492, 241% and 269"22. To find two numbers such, that their sum shall be equal to the sum of their cubes. AS Л * Ans. - and 23. To find three numbers such, that, if each of them be added to the cube... | |
 | John Radford Young - 1839 - 332 pages
...(if!)'. 27. Find three square numbers that shall be in harmonical proportion. Ans. 1225, 49, and 25. 28. Find two numbers such, that their sum shall be equal to the sum of their cubes. Ans. 4 and 4 29. Find three cubes such, that if unity be subtracted from each, the sum of the... | |
 | James Wood - Algebra - 1841 - 492 pages
...18. A certain sum consists of x£ у shillings, and its half of y£ x shillings; find the sum. 19. Find two numbers such that their sum shall be equal to the sum of their squares. „ 153 n Ans. —, — . 13 13 SCALES OF NOTATION. 1. 17486 is in the denary scale, required the equivalent... | |
 | Alexander Ingram - 1844 - 262 pages
...4.8278226. 6. Given x* = 50. x = 3.28726192. 7. Given (5x)* = 80. x = 1.9320805. PRACTICAL EXERCISES. 1. To find two numbers such that their sum shall be equal to the square of the greater, and their differehce equal to the square of the less. Ans. 1.543688 and .839286.... | |
 | Horatio Nelson Robinson - Algebra - 1844 - 184 pages
...equation (5) becomes y=-^t-. Then » y or a;=-i-. But « being knqwn, x is known, and y is known. 9. Find two numbers, such that their sum shall be equal to the difference of their squares, and the sum of their squares shall be equal to the difference of their... | |
 | 1857 - 400 pages
...MATHEMATICS: PROBLEMS, &c. 38. (ANNIE.) xi — V 3 (x + 1 = 1 A solution by quadratics. 33. (SEDIS.) Find two numbers such that their sum shall be equal to the sum of their squares. a 4- 1 a — 1 Si. (TJC) Divide the sum of ^_ ^' and . ^ by their difference. (Prof. Thornton's Elcm.... | |
 | James Wharton - 1860 - 176 pages
...of ax + by - с in positive integers is always possible if a be prime to b, and с > ab — (a + 6). (54.) Find two numbers such that their sum shall be...Find a perfect number, or one which is equal to the sum of all the numbers which divide it without remainder . (59.) Find the least number which, being... | |
 | Mathematics - 1895 - 134 pages
...Hence the whole expectation is twelve cuttings. 12390. (S. TEBAY, BA) — Find two rational fractions, such that their sum shall be equal to the sum of their squares, which is also a square. Solution by A. MARTIN, LL.D. ; HW CURJBL, BA ; and othert. Let x, y be the... | |
 | 1897 - 138 pages
...35" 15' 53". We find 6 = 37° 37' 30" nearly. 12390. (S. TEEAY, BA)— Find two rational fractions such that their sum shall be equal to the sum of their squares, which is also a square. Solution by MORGAN BEIERLEY. y2. Put y = rx ; then x + rx = x1 + rV2, or (r+... | |
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Find two numbers such that their sum shall be equal to the sum of their squares. 