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" There are three numbers in geometrical progression, the greatest of which exceeds the least by 15; and the difference of the squares of the greatest and the least,. is to the sum of the squares of all the three numbers as 5 to 7. What are the numbers... "
An Introduction to Algebra: Being the First Part of a Course of Mathematics ... - Page 224
by Jeremiah Day - 1847 - 332 pages
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1820 - 332 pages
...is 15, and the sum of the two last is 60. What are the numbers ? Let the series be x, xy, xy3, xys ; and the numbers will be found to be 5, 10, 20, and...progression ; and the first had 90 dollars more than the last. How much had each ? Prob. 6. There are three numbers in geometrical progression, the greatest...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Geometry - 1821 - 438 pages
...- ; Л у = 2, or -- , which last does not answer the conditions ; 2 (x \7x - + *+2* = JT = 35; 18. There are three numbers in geometrical progression, the greatest of which exceeds the least by 15. Also the difference of the squares of the greatest and least is to the sum of the squares of all the...
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Algebraical Problems, Producing Simple and Quadratic Equations, with Their ...

Miles Bland - Algebra - 1824 - 383 pages
...-, which last does not answer the conditions; . .'. x = 10, and the numbers are 5, 10, and 20. 18. There are three numbers in geometrical progression, the greatest of which exceeds the least by 15. Also the difference of the squares of the greatest and least is to the sum of the squares of all the...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1827 - 332 pages
...60. What are the numbers ? Let the series be x, xy, xy3, xy3 ? and the numbers will be found to be 6, 10, 20, and 40. Prob. 5. A gentleman divided 210 dollars...progression ; and the first had 90 dollars more than the last. How much had each ? Prob. 6. There are three numbers in geometrical progression, the greatest...
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Elements of Algebra

William Smyth - Algebra - 1830 - 264 pages
...form ax = b, in which the exponent is the unknown quantity. EXAMPLES IN PROGRESSION BY QUOTIENT. 1. There are three numbers in geometrical progression, the greatest of which exceeds the least by 15. Also the difference of the squares of the greatest and least is to the sum of the squares of all the...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1831 - 332 pages
...first is 15, and the sum of the two last is 60. What are the numbers ? Let the series be x, ay, xif, xy 3 ; and the numbers will be found to be 5, 10,...progression ; and the first had 90 dollars more than the last. How much had each 1 jZ,Cl< $0, 40 Prob. 6. There are three numbers in geometrical progression,...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1831 - 332 pages
...1 5, and the sum of the two last is 60. What are the numbers 1 Let the series be x, xy, xy1, xy3 ; and the numbers will be found to be 5, 10, 20, and 46. Prob. 5. A gentleman divided 210 dollars among three servants, in such a manner, that their portions...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1832 - 332 pages
...1 5, and the sum of the two last is 60. What are the numbers 1 Let the series be x, xy, xy*, xy3 ; and the numbers will be found to be 5, 10, 20, and...Prob. 5. A gentleman divided 210 dollars among three sen-ants, in such a manner, that their portions were in geometrical progression ; and the first had...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1841 - 332 pages
...is 15, and the sum of the two last is 60. What are the numbers 1 Let the series be x, xy, xy\ xy3 ; and the numbers will be found to be 5, 10, 20, and...progression, the greatest of which exceeds the least by 1 5 ; and the difference of the squares of the greatest and the least, is to the sum of the squares...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1841 - 332 pages
...is 15, and the sum of the two last is 60. What are the numbers ? Let the series be x, ay, ay*, ay3 ; and the numbers will be found to be 5, 10, 20, and...progression ; and the first had 90 dollars more than the last. How much had each 1 Prob. 6. There are three numbers in geometrical progression, the greatest...
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