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" Prob. 7. Two persons draw prizes in a lottery, the difference of which is 120 dollars, and the greater is to the less, as the less to 10. What are the prizes 1 Prob. "
A Treatise on the Elements of Algebra - Pàgina 103
per Bewick Bridge - 1821 - 227 pàgines
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An Elementary Treatise on Algebra

Bewick Bridge - 1818 - 254 pàgines
...Quadratic Equations. 84. In the solution of Questions which involve quadratic equations, sometimes both, and sometimes only one of the values of the unknown...question itself. QUESTION 1. To divide the number 50 into two such parts, that their product shall be 640. Let x=mie part, then 5(э — j'=the other...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1820 - 352 pàgines
...What two numbers are those whose sum is fr, and the sum of their cubes 72 1 Ans. 2 and 4. Prob. 9. Divide the number 56 into two such parts, that their product shall be 640. Putting x for one of the parts, we have, ^=28il2=40 or 16. In this case, the two values of the unknown...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan - 1824 - 550 pàgines
...will answer the problem); we shall have 3+1— -1— the greater, and 3 — 1=2= the lesser. Prob. 7. To divide the number 56 into two such parts, that their product shall be 640. Ans. 40, and 1C. Prob. 8. There are two numbers whose difference is 7, and half their product plus...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan, Robert Adrain - 1824 - 542 pàgines
...which will answer the problem); we shall have 3+1=4= the greater, and 3 — 1=2= the lesser. Prob. 7. To divide the number 56 into two such parts, that their product shall be G40. Ans. 40, and 16. Prob. 8. There are two numbers whose difference is 7, and half their product...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 pàgines
...Extract the root, we get x+6 = \/o'¿5 = 15 Therefore, x = 15 — 6= 19, the number sought. EXAM. II. To divide the number 56 into two such parts, that their product shall be 640. Solu. Let x = one part ; then 56 — x = the other part ; And xx (56 — x) = the product of the two...
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A Treatise on the Elements of Algebra

Bewick Bridge - 1839 - 280 pàgines
...Quadratic Equations. In the solution of questions which involve quadratic equations, sometimes both and sometimes only one of the values of the unknown...two such parts, that their product shall be 640. Let x=ono part, then 56 — x=the other part, and x(56 — x)= product of the two parts. Hence, by the...
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A Treatise on the Elements of Algebra

Bewick Bridge - 1841 - 260 pàgines
...Quadratic Equations. In the solution of questions which involve quadratic equations, sometimes bothftmd sometimes only one of the values of the unknown quantity...two such parts, that their product shall be 640. Let x=one part, then 56 — x=the other part, and x(56 — x)= product of the two parts. Hence, by the...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1841 - 354 pàgines
...8. What two numbers are those whose sum is 6, and the sum of their cubes 72 1 Ans. 2 and 4. Prob. 9. Divide the number 56 into two such parts, that their product shall be 640. Putting x for one of the parts, we have, x=28±12=40 or 16. In this case, the two values of the unknown...
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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

James Bates Thomson - 1844 - 272 pàgines
...prizes 1 Prob. 8. What two numbers are those whose sum is 6, and the sum of their cubes 72 'i Prob. 9. Divide the number 56 into two such parts, that their product shall be 640. Prob. 10. A gentleman bought a number of pieces of cloth for 675 dollars, which he sold again at 48...
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A Universal Key to the Science of Algebra: In which Some New Modes of ...

Horatio Nelson Robinson - 1844 - 184 pàgines
...34-x = the e reater, ) ~, . ., , ja ,ii „ t This avoids a quadratic. and 3 — x = the less. $ ' 3. Divide the number 56 into two such parts, that their product shall be 640. Ans. 40 and 16. Let 28-|-^ = the greater, 28 — x = the less. 4. A and B distributed 1200 dollars...
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