 | Thomas Simpson - 1792 - 292 σελίδες
...get ^— = 360. Whence x comes out =« QUESTION LXXXIII. Tfiere are two Numbers, whofe Reflangle is equal to the Difference of their Squares ; and the Sum of their Squares is alfo equal to the Difference of their Cubes* fVhat are thoje Numbers ? Let x denote the lefier number,... | |
 | Isaac Dalby - 1806 - 526 σελίδες
...the strength of each column is required ? Ans. 841, and 121 men. 4. To find two numbers whose product shall be equal to the difference of their squares, and the sum of their squares equal to the difference of their cubes ? , Jnt. *1/S» and -^ — • 4 5. Two partners A and B gained... | |
 | Isaac Dalby - 1807 - 968 σελίδες
...the strength of each column b required ? Ant. 641, and 131 me». 4. To find two numbers whose product shall be equal to the difference of their squares, and the sum of their square* equal to the difference of their cubes ? Aní. s Л. Two partners A and В gained 1 in/, by... | |
 | Peter Barlow - 1811 - 536 σελίδες
...added to their product shall be a square. 1 9 40 9'9'T 7. To find two numbers, whose difference is equal to the difference of their squares, and the sum of their squares a square. C 4 3 v I -, -, or any two fractions the L sum of which is unity. 8. To find two such numbers, that... | |
 | John Bonnycastle - 1813 - 456 σελίδες
...how many sheep did he buy ? Ans. 7¿> 14. It is required to 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. |V5 and ^(5 + -v'5) 15. The difference of two numbers... | |
 | John Bonnycastle - 1818 - 326 σελίδες
...equation. Ans. 1 ± ^/(2^/34 — 11) 23. It is required to 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. \b and 24. The arithmetical mean of two numbers exceeds... | |
 | John Bonnycastle - 1825 - 336 σελίδες
...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 sum of their squares equal to the difference of their cubes. Ans. \^/ 5 and KS-J-^/O) 15. The difference of two numbers... | |
 | John Bayley (fellow of Emmanuel College, Cambridge.) - 1830 - 428 σελίδες
...-.2#2— 5л; = 3, &c. л; = 3 У — 6 . ' . the number is 36. Find two numbers such that their product shall be equal to the difference of their squares, and the sum of their squares be equal to the difference of their cubes. Let x and y be the numbers, .-. xy — tf—f -- x'+yг... | |
 | John Radford Young - 1832 - 408 σελίδες
...negative : it is therefore inadmissible. QUESTION VIII. To find two numbers, such, that their product may be equal to the difference of their squares, and the sum of their squares equal to the difference of their cubes. If we assume ax and (a + 1)ж for the numbers, a being = I... | |
 | John Hind - 1837 - 584 σελίδες
...to one another. Answer : 1 (3 + \/5), and i (l + \/5). 7. There are two magnitudes whose product is equal to the difference of their squares, and the sum of their squares is also equal to the difference of their cubes ; find them. Answer : 1 \/5, and ^ (5 + \/5). 8. Required... | |
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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. 
