 | Thomas Simpson - 1821 - 426 σελίδες
...Also 12 + 8 x 10 + 5= 300. 16 x 7,5 = 120 16 + 8 x 7,5 + 5 = 300. PROBLEM L. , Tofind two numbers, so that their sum, their product, and the difference of their squares, may be all equal to one another. The greater being denoted by x, and the lesser by y, we have x + y = xy, and x + y = x* — y2 : the... | |
 | James Ryan - 1824 - 550 σελίδες
...found, if the two unknown quantities were represented by x and y respectively. Problem 1. Required two numbers, such, that their sum, their product,...the difference of their squares, may be all equal. Let af-ry=the greater; and x—y= the lesser; , lhe and 2x=( From the 2d equation y=% ; .*. y"—\... | |
 | James Ryan, Robert Adrain - 1824 - 542 σελίδες
...found, if (he two unknown quantities were represented by x and y respectively. Problem 1. Required two numbers, such, that their sum, their product,...the difference of their squares, may be all equal. Let z-fys=the greater; and x— y— the lesser; . the and 2x= From the 2d equation, y=| ; .*. ya—\... | |
 | Charles Tayler - 1824 - 350 σελίδες
...ANS. ^i ± v/i' Ex. 11. Find the values of*, in the equation x*— 12 x* + 16=0? ANS. Ex. 12. Required two numbers, such that their sum, their product, and...the difference of their squares, may be all equal ? ANS. < and Ex. 13. Required two numbers, such, that their sum, their product, and the sum of their... | |
 | Alexander Ingram - 1830 - 458 σελίδες
...given p, and also the product F, of the sums when each is increased by a given number (a and 6). 14. To find two numbers such, that their sum, their product, and the difference of their squares, shall be all equal. , Ans. x=. 15. Given the sum a, of two numbers, and the sum of their square roots... | |
 | Silas Totten - 1836 - 320 σελίδες
...of two numbers is 7, and the sum of their 5th powers 3157. Required the numbers. Ans. 5 and 2. 16. Find two numbers, such that their sum, their product, and the difference of their squares, may all be equal to one another. Ans. ^ ± J V5, and f ± \ V5. 17. Divide the number 100 into two such... | |
 | 1836 - 352 σελίδες
...same, because the equations (A) and (B) are symmetrical with respect to as and y. [See art. 112.] 214. Find two numbers such that their sum, their product, and the difference of their squares, shall be all equal. As before, let the one be a; anil the other y. Their sum is x + y, their product... | |
 | Davis Wasgatt Clark - 1844 - 394 σελίδες
...the quotient will be 2; but, if 27 be added to the number, the digits will be inverted 1 Jlns. 36. 9. Find two numbers such that their sum, their product, and the difference of their squares may all be equal to one anothe r. Jlns, £ ± £ v/ 5, and f ± £ v/ 5. 10. A and B hired a pasture, into... | |
 | Alexander Ingram - 1844 - 262 σελίδες
...given p, and also the product P, of the sums when each is increased by a given number (a and b}. 14. To find two numbers such, that their sum, their product, and the difference of their squares, shall be all equal. , 1+J5 , 3.HJ5 Ans. y = .=yL., anda; = — v . 15. Given the sum a, of two numbers,... | |
 | Elias Loomis - 1846 - 380 σελίδες
...product of the two numbers thus obtained shall be d ? ,-<*«, where / = — — — — 6. cc 9. To find two numbers, such that their sum, their product...of their squares may be all equal to one another. Ans. -+v/-and -'+ V —. 1 0. Divide the number 100 into two such parts, that their product and the... | |
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A , where m=c 9. Find two numbers such that their sum, their product, and the difference of their squares may be all equal to one another. 
