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Home > Art, Film & Photography > Key to Dodd's Algebra; Containing All the Problems, and the More Difficult Equations, in That Work. with Their Solutions: Designed to Facilitate the Labor of Teachers
Key to Dodd's Algebra; Containing All the Problems, and the More Difficult Equations, in That Work. with Their Solutions: Designed to Facilitate the Labor of Teachers

Key to Dodd's Algebra; Containing All the Problems, and the More Difficult Equations, in That Work. with Their Solutions: Designed to Facilitate the Labor of Teachers


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About the Book

This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1859 Excerpt: ...had was double the whole number of servants; also the whole sum taken was $3456. What was the number of gentlemen? Let x represent the number; then x'Kx, or x2, represents the number of servants; 2x2 represents the number of dollars each gentleman took; and 2x2 X x, or 2x3, represents the wlwle sum taken. The Equation will then be 2x3 = 3456; whence z=12. 21. Divide the number 20 into two such parts, that the product of the whole number and one of the parts shall be equal to the square of the other. Let x represent the less number; then 20--x represents the greater. We shall then have the Equation 20z=(20-z)2. Developing the second member of this Equation, 20x=400-40: r+a;2. This Equation will give a;=30--10-j/o, the less number; hence 20--(30--10-v/5) = 10-v/5--10, is the greater. 22. A laborer dug two trenches, one of which was 6 yards longer than the other, for 17 16., and the digging of each cost as many shillings per yard as there were yards in its length. What was the length of each? Let x represent the number of yards in the first; then x+6 represents the number of yards in the second; xxx, or x2, represents the cost of the first, in shillings; and (-r+6)x(a;+6), or (x+6)2, represents the cost of the second, in shillings. Since 17 16s. is equal to 356 shillings, the Equation will be x2+(z+6)2=356; from which we shall find a;=10 yards, the length of the first; hence 10 + 6=16 yards, was the length of the second. 23. There are two numbers whose product is 120, and if 2 be added to the less, and 3 subtracted from the greater, the product of the sum and the remainder will also be 120. What are the two numbers? Let x represent the less; then 120 represents the greater. By the conditions of the problem, the Equation will then be (x+2)x (TM-3)=12...


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Product Details
  • ISBN-13: 9781130532326
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 36
  • Spine Width: 2 mm
  • Weight: 82 gr
  • ISBN-10: 1130532321
  • Publisher Date: 01 Mar 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Sub Title: Designed to Facilitate the Labor of Teachers
  • Width: 189 mm


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Key to Dodd's Algebra; Containing All the Problems, and the More Difficult Equations, in That Work. with Their Solutions: Designed to Facilitate the Labor of Teachers
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