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" Find a number consisting of three digits, such, that the sum of the squares of the digits, without considering their position, may be 104 ; but the square of the middle digit exceeds twice the product of the other two by 4 ; farther, if 594 be subtracted... "
Algebraic exercises - Page 81
by Henry Ottley - 1828 - 120 pages
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A Collection of Arithmetical and Algebraic Problems and Formulae

Meyer Hirsch - Algebra - 1831 - 362 pages
...digits, such, that the sum of the squares of the digits, without considering their position, may be = 104 ; but the square of the middle digit exceeds twice the product of the other two by 4 ; farther, if 594 be subtracted from the number sought, the three digits become inverted. What number...
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Exercises in Algebra: Being Systematically Arranged and Adapted to the ...

Francis Joseph Grund - Algebra - 1833 - 224 pages
...digits, such, that the sum of the squares of the digits, without considering their position, may be = 104 ; but the square of the middle digit exceeds twice the product of the other two by 4 ; further, if 594 be subtracted from the number sought, the three digits become inverted. What number...
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The Elements of Algebra

Thomas Grainger Hall - 1840 - 266 pages
...(30) There is a number consisting of 3 digits, in which the sum of the squares of the digits = 104; the square of the middle digit exceeds twice the product of the other two by 4, and if 594 be taken from the number the digits will be inverted. Ans. 8б2. (31) There are two numbers...
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An Elementary Treatise on Algebra: To which are Added Exponential Equations ...

Benjamin Peirce - Algebra - 1843 - 308 pages
...digits, such, that the sum of the squares of the digits, without considering their position, may be 104 ; but the square of the middle digit exceeds twice the product of the other two by 4 ; farther, if 594 be subtracted from the number sought, the three digits are inverted. Ans. 862. 234....
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A Key Containing the Statements and Solutions of Questions in Davies ...

Charles Davies - Algebra - 1846 - 112 pages
...a number consisting of three digits, such, that the sum of the squares of the digits shall be 104 ; the square of the middle digit exceeds twice the product of the other two by 4 ; and if 594 be subtracted from the number, the three digits become inverted. Let x= the left-hand...
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A Treatise on Algebra: Embracing, Besides the Elementary Principles, All the ...

George Roberts Perkins - Algebra - 1847 - 432 pages
...digits, such, that the sum of the squares of the digits, without considering their position, may be = 104 ; but the • square of the middle digit exceeds twice the product of the other two by 4 ; further, if 594 be subtracted from the number sought, the three digits become inverted. What number...
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An Elementary Treatise on Algebra

Benjamin Peirce - Algebra - 1851 - 294 pages
...digits, such, that the sum of the squares of the digits, without considering their position, may be 104 ; but the square of the middle digit exceeds twice the product of the other two by 4 ; farther, if 594 be subtracted from the number sought, the three digits are inverted. Ans. 862. 234....
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An Elementary Treatise on Algebra: To which are Added Exponential Ewquations ...

Benjamin Peirce - Algebra - 1855 - 308 pages
...digits, such, that the sum of the squares of the digits, without considering their position, may be 104; but the square of the middle digit exceeds twice the product of the other two by 4 ; farther, if 594 be subtracted from the number sought, the three digits are inverted. Ans. S62. 234....
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The Complete Algebra: Designed for Use in Schools, Academies, and Colleges

Joseph Ficklin - Algebra - 1874 - 446 pages
...С in 18 days. 20. A number consists of three digits. The sum of the squares of the digits is 104; the square of the middle digit exceeds twice the product of the other two by 4 ; and if 594 be subtracted from the number the order of the digits will be inverted: find the number....
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Elementary Treatise on Algebra

Benjamin Peirce - 1875 - 306 pages
...such, that the sum of the squares of the digits, without considering their position, may be 104 ; hut the square of the middle digit exceeds twice the product of the other two by 4 ; farther, if 594 be subtracted from the number sought, the three digits are inverted. Ans. S(i2. 234....
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