| Joseph Ficklin - Algebra - 1874 - 446 pages
...to m times their difference. . a — 2m ± Vet2 + am« , a + 2m T Va* + Ans. - ñ - — and 5 A 9. **Divide 100 into two such parts that the sum of their square roots** shall be 14. Ans. 64 and 36. 10. Divido a into two such parts that the sum of their square roots shall... | |
| Charles Davies - Algebra - 1879 - 288 pages
..., 42 21 taking the lower sign p = — = -^ substituting in (4), y = y -s- = 4 ; whence, ж = 7. 10. **Divide 100 into two such parts, that the sum of their square roots may be 14.** Let x and y denote the parts. From the conditions, x+ y = 100 ... (1), y^+Vy= 14 ... (2): squaring... | |
| Edward Olney - Algebra - 1880 - 354 pages
...will come together ? 4. Divide the number 48 into two such parts that their product may be 432. 5. **Divide the number 24 into two such parts that their...product may be equal to 35 times their difference.** C. For a journey of 108 miles, G hours less Avould have sufficed, had the traveller gone 3 miles an... | |
| Edward Olney - Algebra - 1881 - 254 pages
...numbers are those whose difference is 8, and the sum of whose squares is 544 ? 9. Divide the number **100 into two such parts that the sum of their square roots may be 14.** Suggestions-Lot xi and y2 be the numbers. 10. The product of two numbers is 12, and the sum of iiieir... | |
| Education - 1881 - 516 pages
...two numbers is 14, and the sum of their cubes is 728. What are the numbers? 9. Divide the number 145 **into two such parts that the sum of their square roots may be** 17. 10. Form the equation whose roots are 2, 3, and 3 ± \/2. GEOGRAPHY. 1. Begin with Maine and name,... | |
| Edward Olney - Algebra - 1882 - 358 pages
...will come together ? 4. Divide the number 48 into two such parts that their product ymay be 432. 5. **Divide the number 24 into two such parts that their...product may be equal to 35 times their difference.** 7. The fore wheel of a coach makes 6 revolutions more than the hind wheel in going 120 yards ; but,... | |
| William Dodds - 1884 - 162 pages
...fractions in the ratio of 5 : 3, such that the difference of their squares shall be T",V (32) Divide 52 **into two such parts that the sum of their square roots may be** 10. [Let *2 and y2 be the two parts.] (33) Divide 130 into two parts such that the difference of their... | |
| 1885 - 286 pages
...as many solid units as there are linear units in the distance between its two opposite corners. 15. **Divide 100 into two such parts that the sum of their square roots** shall be 14. 16. Required the side of a cubical vat which shall contain A part as much as one whose... | |
| Edward Mann Langley, S. R. N. Bradly - Algebra - 1903 - 280 pages
...; and B's money, which was £50 more than A's, was in trade five months. What was A's stock ? (24) **To divide 100 into two such parts that the sum of their square roots may be 14.** (25) A and В distribute £1200 each among a certain number of persons. A relieves 40 persons more... | |
| John Henry Walsh - Algebra - 1911 - 234 pages
...fraction is 7, and the sum of the squares of its terms is 25. What is the fraction ? 2. Divide 169 **into two such parts that the sum of their square roots may be** 17. Representing one part by x2 and the other by y2, the equations become x2 + y2 = 169 and x + y =... | |
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