 | Thomas Simpson - 1792 - عدد الصفحات: 292
...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 - عدد الصفحات: 526
...more than the other : hence the strength of each column is required ? Ans. 841, and 121 men. 4. To find two numbers whose product shall be equal to the...their squares equal to the difference of their cubes ? , Jnt. *1/S» and -^ — • 4 5. Two partners A and B gained 140/. by trade ; A's money was 3 months... | |
 | Isaac Dalby - 1807 - عدد الصفحات: 968
...more thin the other : hence 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 - عدد الصفحات: 536
...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,... | |
 | John Bonnycastle - 1813 - عدد الصفحات: 456
...them : 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...their squares equal to the difference of their cubes. Ans. |V5 and ^(5 + -v'5) 15. The difference of two numbers is 8, and the difference of their fourth... | |
 | John Bonnycastle - 1818 - عدد الصفحات: 326
...quadratic 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...their squares equal to the difference of their cubes. Ans. \b and 24. The arithmetical mean of two numbers exceeds the geometrical mean by 13, and the geometrical... | |
 | John Bonnycastle - 1825 - عدد الصفحات: 336
...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...their squares equal to the difference of their cubes. Ans. \^/ 5 and KS-J-^/O) 15. The difference of two numbers is 8, and the difference of their fourth... | |
 | John Radford Young - 1832 - عدد الصفحات: 408
...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...their squares equal to the difference of their cubes. If we assume ax and (a + 1)ж for the numbers, a being = I + ii/ 5, we shall fulfil the first condition... | |
 | John Hind - 1837 - عدد الصفحات: 584
...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... | |
 | John Radford Young - 1838 - عدد الصفحات: 368
...What are the numbers ? Ans. 4, 12, and 36. 12. It is required to find two numbers, such, that their product shall be equal to the difference of their...their squares equal to the difference of their cubes. 5 + V 5 V5 Ans. , and — -. 13. The product of five numbers in arithmetical progression is 10395,... | |
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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. 
