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It is required to find two numbers, such, that their sum, product, and difference of their squares, shall be all equal.
An Elementary Treatise on Algebra, Theoretical and Practical: With Attempts ... - Page 114
by John Radford Young - 1839

## A Treatise on Algebra, in Practice and Theory: With Notes and Illustrations ...

John Bonnycastle - Algebra - 1813 - 456 pages
...Whence x = - 2 + V4 + 32O = - 2 + 1 8, by the rule, And consequently x— 16, the number of sheep. 6. It is required to find two numbers, such that their...difference of their squares, shall be all equal. Let ,r = the greater number, and у = the less. *' — t/a Hence 1 = — — = x — y, or л: =y + 1,...

## An Introduction to Algebra: With Notes and Observations : Designed for the ...

John Bonnycastle - Algebra - 1818 - 260 pages
...x3+4x=3ZO, Whence x— — 2+v/4+320=—2+ 18, by the rule, And consequently a;=16, the number of sheep. 6. It is required to find two numbers, such that their...and difference of their squares, shall be all equal to each other. Let x=the greater number, and y== the less. — the <»ueetionf •— " Hence 1 = —...

## An Introduction to Algebra: With Notes and Observations : Designed for the ...

John Bonnycastle - Algebra - 1818 - 260 pages
...+4z=320, Whence z=— 2+^/4+320= -2+18, by the rule, And consequently x=16, the number of sheep. 6. It is required to find two numbers, such that their ,sum, product, and difference of their squares, shalJ be all equal to each other. . Let x=the greater number, and ;/ = the less. =3Lj,' by the que«tionxl...

## An Introduction to Algebra: With Notes and Observations, Designed for the ...

John Bonnycastle - Algebra - 1825 - 312 pages
...Whence x=— 2+^(4+320)= _ 2-|-l8, by the rule, And consequently a:— .16. the number of sheep. 6. It is required to find two numbers., such that their...product and difference of their squares, shall be alt equal to each other. Let x= the greater number and j/= the less. by the question. £2 — u* Hence...

## An Introduction to Algebra, with Notes and Observations: Designed for the ...

John Bonnycastle - Algebra - 1829 - 312 pages
...-ra+4z=320, Whence *=-2-K/(4+320)= - 2+18, by the rule, And consequently x=t6, the number of sheep. 6. It is required to find two numbers, such that their...product and difference of their squares, shall be ali equal to each other. Let x== the greater number and y~ the less. Then \$ ^y^_ , I by the question....

## An Elementary Treatise on Algebra, Theoretical and Practical: With Attempts ...

John Radford Young - Algebra - 1832 - 410 pages
...40, or — 140 : .-. the commodity cost \$40 : the other value of a; is inadmissible. QUESTION III. It is required to find two numbers, such that their...and difference of their squares, shall be all equal. The sum of two numbers differing by unity, is equal to the difference of their squares. Let, then,...

## An Introduction to Algebra: With Notes and Observations; Designed for the ...

John Bonnycastle - Algebra - 1834 - 312 pages
...Whence x= — 2-f,v/(4-f 320)= - 2-f 18, by the rule, And consequently, 3:= 16, the number of sheep. 6. It is required to find two numbers, such that their...product, and difference of their squares, shall be all equaJ to each other. Let x= the greater number and y— the less. Then xx=x- *y the ciuestionjj _ „3...

## An Elementary Treatise on Algebra, Theoretical and Practical: With Attempts ...

John Radford Young - Algebra - 1838 - 358 pages
...and of a dozen of claret (= — — =) 31. If the other value of z be admitted, then the 10 — ox number expressing the dozens of claret will be negative...x + (x + 1), and the difference of the squares, (x + 1)2 — x2, are each 2x + 1. We have therefore only to satisfy the remaining condition, that is,...