 | Thomas Simpson - Mathematics - 1792 - 292 pages
...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 - Mathematics - 1806 - 526 pages
...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 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 - Mathematics - 1807 - 968 pages
...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 - Mathematics - 1811 - 536 pages
...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 - Algebra - 1813 - 456 pages
...powers =32, to find the numbers by a quadratic equation. Ans- 1±л/(2У34-11) 33. It is required to find two numbers such, that their product shall be...difference of their squares, and the sum of their squares equal to the difference of their cubes. Ans. ¿л/5 and 5(5 + л/5) Л4. The arithmetical mean of two... | |
 | John Bonnycastle - Algebra - 1818 - 326 pages
...= 32, to find the numbers by a quadratic equation. Ans. 1 ± ^/(2^/34 — 11) 23. It is required to find two numbers such, that their product shall be...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 - Algebra - 1825 - 336 pages
...for 641., and gained 2s. a head by them : how many sheep did he buy ? Ans. 75 14. It is required to find two numbers, such that their product shall be...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 Radford Young - Algebra - 1832 - 408 pages
...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 Bonnycastle - 1836 - 296 pages
...— ^"-} and 1 + V{ --5- — ~J, 33 33 .-_11.2V34 ^ li,V3Ji 23. It is required to find two numbersx 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. Ijjjb and i(5+^5). 24. The arithmetical mean of two numbers... | |
 | John Bonnycastle - Algebra - 1837 - 296 pages
...number' sold the remainder for 542., and gained 2s. a head by them : how many sheep did he buy? Ans. 75. product shall be equal to the difference of their squares, and the sum of their squares equal to the difference of their cubes. Ans. £ v/ 5 and J- (5 + V 5). 15. The difference of two numbers... | |
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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 squares, and the sum of their squares equal to the difference of their cubes. 
