| 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,... | |
| 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 = —... | |
| 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... | |
| 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... | |
| 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.... | |
| 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,... | |
| 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... | |
| 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,... | |
| John D. Williams - Algebra - 1840 - 636 pages
...same sum, he would have received 1 dollar apiece more for them ; required the number sold. Ans. 20. 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. - ? \ by the questionHence 1= *- =x —... | |
| Thomas Grainger HALL - 1840 - 266 pages
...days, and that В will arrive at С in 9 days. Find the distance of С from D. Ans. 150 miles. (24) **Find two numbers such that their sum, product and difference of their squares** may be equal. Ans. 1.680+ and 2.6180+ nearly. (25) Divide 134 into 3 such parts that the sum of the... | |
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