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. 1840 Excerpt: ...the root. And the same for higher equations. On the Solution of Quadratic Equations by the Tables of Sines and Tangents. When the numerical parts of a quadratic equation are either large numbers or complicated fractions, its solution may often be more readily obtained, by means of one of the "following trigonometrical ...
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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. 1840 Excerpt: ...the root. And the same for higher equations. On the Solution of Quadratic Equations by the Tables of Sines and Tangents. When the numerical parts of a quadratic equation are either large numbers or complicated fractions, its solution may often be more readily obtained, by means of one of the "following trigonometrical formulae, than by the common method, which, in cases of this kind, becomes very laborious. Questions producing Quadratic Equations. The methods of expressing the conditions of questions of this kind, and the consequent reduction of them, till they are brought to a quadratic equation, involving only one unknown quantity and its square, are the same as those already given for simple equations. 1. A and B gained $18 by trade. A's money was in trade 12 months, and he received for his principal and gain $26. Also B's money, which was $30, was in trade sixteen months, What money did A put into trade? Let x = the number of dollars he put in;. 26--x = the number he gained, and 12a;--16 X 30: 12a::: 18: 26--x, or, 18z=1040--14a: --x2, or x--32x= 1040; and, by case 1, a=20, or--52; consequently A put in $20, Ans. 2. A sold a quantity of brandy for $39, and gained as much per cent, as the brandy cost him. What was the price of the brandy? Let x = the price of the brandy; then 100: x:: x: = the a o gain, JQQ-, and.-. ==39--, or ===3900--1002:, or a?-fl00z =3900; and, by case 1, z=30, or--130; consequently, the price was $30, Ans. 3. A sold a piece of cloth for $24, and gained as much per cent. as it cost hinj. What was the price of the cloth? Let x = cyst price of the cloth in dollars; then 24--x = the whole gain. Hence 100-fa:: x'.;24: 24--a;; (lOO+a: ) (24--z) = 24a;;.-. 2400--100z--ar=0;.: a?+lOOa; = 2400, by case 1, we have x=$20, the price ...
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Add this copy of A Practical System of Algebra in Theory and Practice in to cart. $18.00, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2022 by Legare Street Press.
Add this copy of A Practical System of Algebra in Theory and Practice in to cart. $28.30, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2022 by Legare Street Press.
All Editions of A Practical System of Algebra in Theory and Practice in Two Parts: With a New Method of Solving Cubic Equations and Those of Higher Orders
