 | Henry Ottley - Algebra - 1828 - 140 pages
...amounts to 34, and the sum of their squares exceeds the sum of the numbers themselves by 42. 71. There is a number consisting of three digits, such, that the sum of the squares ot the dibits is 104, but the square of the middle digit exceeds twice the product of the other two... | |
 | Meyer Hirsch - Algebra - 1831 - 362 pages
...if we multiply them together, the product is 13824. What numbers are they 1 Ans. 6, 24, and 96. 54) It is required to find a number, consisting of three...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... | |
 | Benjamin Peirce - Algebra - 1837 - 302 pages
...product, and difference of their squares, are all equal to each other? Ans. i(3±\/5), and £(l±\/5). 30. Find a number consisting of three digits, such, that...position, may be 104 ; but the square of the middle Examples of Quadratic Equations higher than the Second Degree. digit exceeds twice the product of the... | |
 | Benjamin Peirce - Algebra - 1837 - 300 pages
...whose sum, product, and difference of their squares, are all equal to each other? Ans. 3±\/5, and 30. Find a number consisting of three digits, such, that...position, may be 104 ; but the square of the middle Examples of 'Quadratic Equations higher than the Second Degree. digit exceeds twice the product of... | |
 | Thomas Sherwin - Algebra - 1841 - 314 pages
...differ ence of their squares, makes 150, and whose sum added to the sum of their squares, makes 330. 66. Find a number consisting of three digits, such that the sum of the squares of the digits shall be 66 ; that the square of the middle digit shall exceed the product of the other two by 9 ;... | |
 | Benjamin Peirce - Algebra - 1843 - 308 pages
...difference of their squares, are all equal to each other ? Ans. £ (3 ± V5), and J (1 ± ^ 5). 38. Find a number consisting of three digits, such, that...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.... | |
 | Charles Davies - Algebra - 1844 - 110 pages
...and by adding the equations, we have, 2z3+2x=480, and, Jc*+x—240, which gives, a:=15, and y=9. 15. It is required to find 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 pro• . duct of the other two by 4... | |
 | Charles Davies - Algebra - 1848 - 302 pages
...shall be equal to 150, and whose sum, added to the sum of their squares, shall be equal to 330. la. It is required to find 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 to exceed twice the product of the other two by 4 ; and... | |
 | Benjamin Peirce - Algebra - 1851 - 294 pages
...difference of their squares, are all equal to each other ? Ans. i (3 ± v/5), and J (1 ± v/ 5). 38. Find a number consisting of three digits, such, that...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.... | |
 | Benjamin Peirce - Algebra - 1855 - 308 pages
...difference of their squares, are all equal to each other ? Ans. i (3 ± v/5), and J (1 ± ^ 5). 38. Find a number consisting of three digits, such, that...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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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... 
