 | John H. Harney - Algebra - 1840 - 298 pages
...is 625. 5. Find two square numbers whose sum is a2. 7. Find two numbers, such that their difference shall be equal to the difference of their squares, and the sum of their squares a square number. 8. Find two whole numbers, such that their sum and difference shall be both... | |
 | Horatio Nelson Robinson - Algebra - 1844 - 184 pages
...than the other. (Harney's Alg. 192.) Ans. 20 days, and 30 days. 8. Find two numbers, such that their product shall be equal to the difference of their squares, and the sum of their squares shall be equal to the difference of their cubes. Let a;=one and y=the other. Then xy=3? —... | |
 | Alexander Ingram - 1844 - 262 pages
...difference multiplied by the less is 75 ? Ans. 15 and 20. 14. Required two numbers such that their product shall be equal to the difference of their squares, and the sum of their squares equal to the difference of their cubes. Ans. | V5 and 1(5 + ^5). 15. A and B engage to reap... | |
 | James Wood - Algebra - 1845 - 442 pages
...circumferences of the wheels are 4 and 5 yards respectively. PROB. 8. Find two numbers whose product is equal to the difference of their squares, and the sum of their squares equal to the difference of their cubes. Let x and xy be the two numbers, and #*/+ x'=x3y3 —... | |
 | Horatio Nelson Robinson - Algebra - 1847 - 132 pages
...x=2O. And the numbers will be 320, 80, and 41. 9. Find two numbers, such that their difference may be equal to the difference of their squares, and the sum of their squares shall be a square number. Let x and у be the numbers. Then x — y=x2 — y3. Divide by a;... | |
 | John Bonnycastle - 1848 - 334 pages
...gained 2s. a-head by them ; how many sheep did he buy? Ans. 75. 14. Find two numbers such, that their product shall be equal to the difference of their squares, and the sum of their squares equal to the difference of their cubes. Ans. J \/5 and J (5 15. A company at a tavern had L.8,... | |
 | Horatio Nelson Robinson - Algebra - 1848 - 354 pages
...their squares shall be b. Ans. Greater part -^-\-^\ Less part 31. Find two numbers, such that their product shall be equal to the difference of their squares, and the sum of their squares shall be equal to the difference of their cubes. Am. SECTION V. ARITHMETICAL PROGRESSION. CHAPTER... | |
 | Horatio Nelson Robinson - Algebra - 1850 - 358 pages
...—4^/3 V. * • * *\ / *, ' L CSS part |~2 31. Find two numbers, such that their product shall be equak to the difference of their squares, and the sum of their square* shall be equal to the difference of their cubes. Ans. ±^5"and SECTION V. ARITHMETICAL PROGRESSION.... | |
 | Horatio Nelson Robinson - Mathematics - 1851 - 96 pages
...this, to show that equations may some™ times be changed to others having no visible connection. 9. Find two numbers, whose product shall be equal to...difference of their squares, and the sum of their squares equal to the difference of their cubes. In other words, find the values of x and y from the... | |
 | John Bonnycastle - Algebra - 1851 - 288 pages
...them : how many sheep did he buy ? Ans. 75. 14. It is required to find two numbers, such that their product shall be equal to the difference of their squares, and the suni of their squares equal to the difference of their cubes. 15. The difference of two numbers is... | |
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Find two numbers whose product is equal to the difference of their squares, and the sum of their squares equal to the difference of their cubes. 
