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" Ans. 16 and 24. 42. It is required to find a number such, that if it be increased by 7, the square root of the sum shall be equal to the square root of the number itself, and 1 more. Ans. 9. "
An Elementary Treatise on Algebra, Theoretical and Practical: With Attempts ... - Page 67
by John Radford Young - 1839
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A Treatise on Algebra, in Practice and Theory: With Notes and Illustrations ...

John Bonnycastle - Algebra - 1813 - 456 pages
...resolving the question, in this simple state of it, may be щоге easily perceived (y), EXAMPLES. 1 . It is required to find a number such, that if it be multiplied by 5, and then added' to 19j the result shall be a square. (y) Among an infinite number...
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An Introduction to Algebra: With Notes and Observations, Designed for the ...

John Bonnycastle - Algebra - 1825 - 312 pages
...impossibility of revolving the question, in this state of it, can be more easily perceived.* EXAMPLES. 1. It is required to find a number, such that if it be multiplied by 5, and then added to -9, the result -shall be a square. Let x= the required number ;...
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An Elementary Treatise on Algebra, Theoretical and Practical: With Attempts ...

John Radford Young - Algebra - 1832 - 410 pages
...have finished the work if they both work at it together? ab Ans. m — — т- days.* а + b 16. It is required to find a number such, that if it be...to the square root of the number itself and 1 more. Ane. 9. 17. A labourer engages to work at the rate of 3s. 6d. a day, but on every day that he is idle...
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Exercises in Algebra: Being Systematically Arranged and Adapted to the ...

Francis Joseph Grund - Algebra - 1833 - 197 pages
...whose 7th and 8th part multiplied together, and the product divided by 3, gives the quotient 298J ? 7) It is required to find a number such, that if it be added to 94, and again subtracted from 94, the product of the sum by the difference thus obtained,...
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An Introduction to Algebra: With Notes and Observations; Designed for the ...

John Bonnycastle - Algebra - 1834 - 312 pages
...impossibility of resolving the question, in this state of it, can be more easily perceived.* EXAMPLES. 1 . It is required to find a number, such that if it be multiplied by 5 and then added to 19, the result shall be a square. Let x— the required number :...
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An Elementary Treatise on Algebra: Theoretical and Practical ...

James Ryan - Algebra - 1838 - 391 pages
...be any number, either integral or fractional, that will render the value of x positive. EXAMPLE 1. It is required to find a number, such, that if it be multiplied by 5, and then added to 19, the result shall be a square. n2 19 Let 5x-f-19— n2, or 0:=-...
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Algebra made easy

Thomas Tate (mathematical master.) - 1847 - 138 pages
...3 and 5. Let x = the less, then x+2 = the greater, /. x (x+2) =15, or x*+2x = 15, whence x = 3. 3. It is required to find a number, such that if it be increased by 12, the sum shall be equal to the square of the number. Ans. 4 or — 3. 4. A person bought as many...
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A Theoretical and Practical Treatise on Algebra ...

Horatio Nelson Robinson - Algebra - 1848 - 320 pages
...and if 4 be added to each of them, the sums will be in proportion of 5 to 7 ? • Ans. 16 and 24. 42. It is required to find a number such, that if it be...of the sum shall be equal to the square root of the Dumber itself, and 1 more. Ans. 9. 43. A sets out from a certain place, and travels at the rate of...
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A Theoretical and Practical Treatise on Algebra: In which the Excellencies ...

Horatio Nelson Robinson - Algebra - 1850 - 364 pages
...3, and if 4 be added to each of them, the sums will be in proportion of 5 to 7 ? Ans. 16 and 24. 42. It is required to find a number such, that if it be...square root of the sum shall be equal to the square rat of the number itself, and 1 more. Ans. 9. 43. A sets out from a certain place, and travels at...
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A Theoretical and Practical Treatise on Algebra ...: Designed for Schools ...

Horatio Nelson Robinson - Algebra - 1851 - 346 pages
...3, and if 4 be added to each of them, the sums will be in proportion of 5 to 7 ? Ans. 16 and 24. 42. It is required to find a number such, that if it be...square root of the number itself, and 1 more. Ans. 9. . 43. A sets out from a certain place, and travels at the rate of 7 miles in 5 hours ; and 8 hours...
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