 | John Bonnycastle - 1848 - 334 pages
...question, taken positively, is the proper answer to the question which has just been enunciated. 6. It is required to find two numbers, such that their sum, product, and difference of tl'eir squares, shall be all equal to each other. Let x = the greater number, and у = the less ; then... | |
 | John William Colenso (bp. of Natal.) - 1848 - 238 pages
...8s la:1 . rl+s* 4жя 1-2*1 403. Sum (a + xf + (a* + zs) + (a - x)* + &c. to 5 and to n terms. 404. Find two numbers such that their sum, product, and difference of their squares may be equal. 405. Apply the Bin. Theor. to find (1.01)"« to nine places. 406. Find the least integer... | |
 | John William Colenso - Algebra - 1849 - 262 pages
...or x = 4, y = 3, and the number will be 34 or 43. In this case both the roots give solutions. Ex. 4. Find two numbers such, that their sum, product, and difference of their squares may be all equal. Here assume x + y and z - y for the two numbers : [this step should be noticed, as... | |
 | John Bonnycastle - Algebra - 1851 - 288 pages
...by leaving out 80# on each side, x 2 + 4a? = 320, And consequently, x = 16, the number of sheep. 6. It is required to find two numbers, such that their...and difference of their squares, shall .be all equal to each other. Let x •== the greater number and y — the less. Then \ x +y~*y ? by the question.... | |
 | John William Colenso - 1851 - 112 pages
...ml я-1 402. Simplify lx 403. Sum (a + x)' + (a* + ж') + (a - x)' + &c. to 5 and to n terms. 404. Find two numbers such that their sum, product, and difference of their squares may be equal. 405. Apply the Bin. Theor. to find (1.01)"* to nine places. 406. Find the least integer... | |
 | John Radford Young - 1857 - 324 pages
...x = 2, or ^г° : .-. the price of a dozen of sherry was 2Z., and of a dozen of claret (= _ =) 3/. If the other value of x be admitted, then the number...x + (x + 1), and the difference of the squares, (x + 1)2 — x2, are each 2x + 1. We have therefore only to satisfy the remaining condition, that is,... | |
 | Thomas Stantial - Examinations - 1859 - 352 pages
...interest he obtained in each case, and the advantage per cent. of the second purchase over the first. 9. Find two numbers such that their sum, product, and difference of their squares may be equal. 10. The solid content of a cubical room is 4913 cubic feet ; what will be the cost of... | |
 | Robert Wallace - 1870 - 164 pages
...being multiplied by 8 and the greater by 1 ',, the two products shall be equal. Ans. 80 and 60. 7. Find two numbers such that their sum, product, and difference of their squares shall all be equal to each other. Acs. -s-+— V^ and 8. Find two numbers such that their sum shall be 13,... | |
 | Mathematics - 1915 - 830 pages
...examination was two hours, and selection of of three problems of each kind was to have been made. ALGEBRA 1. Find two numbers such that their sum, product and difference of their squares are all equal. ace 2. If— = — = — , bdg a2 c' e2 (a+c+e)2 prove — = — = — = b* di g2 (b+d+g)2... | |
| |
It is required to find two numbers, such, that their sum, product, and difference of their squares, shall be all equal. 
