 | Jeremiah Day - Algebra - 1820 - 352 pages
...the 2d proportion, &x=yx (x— y) 4y Substituting y for x, y = 24. And x=32. 4. Divide the number 18 into two such parts, that the squares of those parts may be in the ratio of 25 to 16. Let x= the greater part, and 18 — x = the less. By the conditions, x3 : (1... | |
 | Miles Bland - Geometry - 1821 - 898 pages
...з ; consequently there were 27 yards, at 12*. per yard. 5. It is required to divide the number is into two such parts, that the squares of those parts may be in the proportion of 25 to lo. Let x = the greater part ; then 18 — x = the less ; .-. x* : (is —... | |
 | James Ryan, Robert Adrain - Algebra - 1824 - 542 pages
...that is, or 4225— 325 =—325 + 4225; .-. 4225=4225, or 4225 — 4225 =o, that is, 0=0. Prob. 9. It is required to divide the number a into two such parts, that the squares of those parts may be in the proportion of M to n. Let o;=one of these parts ; then a — »=the other ; and according to the... | |
 | James Ryan - Algebra - 1824 - 550 pages
...that is, or 4225 — 325 = —325 + 4225; .-. 4225=4225, or 4225 — 4225 =o, that is, 0=0. Prob. 9. It is required to divide the number a into two such parts, that the squares of those parts may be in the proportion of m to n. Let a:=one of these parts ; then a— a=the other j and according to the... | |
 | Miles Bland - Algebra - 1824 - 404 pages
...±3; consequently there were 27 yards, at 12«. per yard. S. It is required to divide the number 18 into two such parts, that the squares of those parts may be in the proportion of 25 to 16. Let x = the greater part ; then 18 — x = the less ; .'. / : (18 -.r)2... | |
 | Jeremiah Day - Algebra - 1827 - 352 pages
...difference of whose squares is 128 ? Ans. 18 and 14. Prob. 9. It is required to divide the number 1 8 into two such parts, that the squares of those parts may be to each other as 25 to 16. Let z=the greater part. Then 18 - *=the less. By the condition proposed... | |
 | William Smyth - Algebra - 1830 - 278 pages
...crown ; how many pieces must be taken from each, in order that there may be c pieces to the crown ? 3. It is required to divide the number a into two such parts, that if m times one part be added to n times the other part, the sum will be a given number b. What are... | |
 | Jeremiah Day - Algebra - 1831 - 354 pages
...difference of whose squares is 128? Ans. 18 and 14. Prob. 9. It is required to divide the number 18 into two such parts, that the squares of those parts may be to each other as 25 to 16. Let x= the greater part. Then 18 - z=the less. By the condition proposed... | |
 | James Bates Thomson - Algebra - 1844 - 272 pages
...shall be to the less, as their sum to 42 ; and as their difference to 6. Prob. 4. Divide the number 18 into two such parts, that the squares of those parts may be in the ratio of 25 to 16. Prob. 5. Divide the number 14 into two such parts, that the quotient of the... | |
 | James Bates Thomson - Algebra - 1844 - 272 pages
...to 9, and the difference of whose squares is 128 1 Prob. 9. It is required to divide the number 18 into two such parts, that the squares of those parts may be to each other as 25 to 16., \ . , j< .i 'ji * . i / "^ ~~ * '• Prob. 10. It is required to divide... | |
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Prob. 9. It is required to divide the number 18 into two such parts, that the squares of those parts may be to each other as 25 to 16. 
