 | 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... | |
 | Francis Joseph Grund - Algebra - 1833 - 224 pages
...himself. 36) It is required to find a number consisting of three digits, by the following conditions : the sum of the squares of the digits, without considering their position, shall be 77 ; the square of the middle digit shall by 1 exceed the product of the other two ; further,... | |
 | 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 ;... | |
 | 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... | |
 | George Roberts Perkins - Algebra - 1847 - 432 pages
...exceed the sum of the numbers themselves by 42. What are the numbers 1 | 4 and 6 ; or, Ans. _ ц 22. It is required to find a number, consisting of three...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... | |
 | 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... | |
 | Elias Loomis - Algebra - 1855 - 356 pages
...of partners per cent., and the whole profit is $392. How many partners were there ? Ex. 14. There is a number consisting of three digits such that the sum of the first and second is 9 ; the sum of the first and third is 12 ; and if the product of the three digits... | |
 | Samuel Alsop - Algebra - 1856 - 152 pages
...squares, makes 150, and whose sum, added to the sum of their squares, irakes 330. Ex. 18. There is a number consisting of three digits, such that the sum of the squares of the digits is 104; but the square of the tens digit exceeds twice the product of the others by 4, and if 594 be... | |
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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 Examples of 'Quadratic Equations higher than the Second Degree. 
