An Elementary Treatise on Algebra: To which are Added Exponential Equations and Logarithms |
From inside the book
Results 1-5 of 100
Page
... Equations . II . Reduction and Classification of Equations . III . Solution of Equations of the First Degree , with one unknown quantity . . IV . Equations of the First Degree containing two or more unknown quantities . CHAPTER IV ...
... Equations . II . Reduction and Classification of Equations . III . Solution of Equations of the First Degree , with one unknown quantity . . IV . Equations of the First Degree containing two or more unknown quantities . CHAPTER IV ...
Page 50
... solution of a problem is the expressing of its conditions in alge- braic language ; this is called putting the problem into equations ... EQUATIONS OF THE FIRST DEGREE Putting Problems into Equations.
... solution of a problem is the expressing of its conditions in alge- braic language ; this is called putting the problem into equations ... EQUATIONS OF THE FIRST DEGREE Putting Problems into Equations.
Page 51
... equation , x + 1071 = 120 . 2. A merchant adds yearly to his capital one third of it , but takes from it at the end ... Solution . If x = the required number of hours , the num- ber of hours which the first courier is on the road is x + 8 ; ...
... equation , x + 1071 = 120 . 2. A merchant adds yearly to his capital one third of it , but takes from it at the end ... Solution . If x = the required number of hours , the num- ber of hours which the first courier is on the road is x + 8 ; ...
Page 53
... equation is 6 x = 216 . 7. From two different sized orifices of a reservoir ... Solution . Let x = the quantity discharged by the first orifice . As the ... Equations . Ans . If 5 * CH . III . § I. ] PUTTING QUESTIONS INTO EQUATIONS . 53.
... equation is 6 x = 216 . 7. From two different sized orifices of a reservoir ... Solution . Let x = the quantity discharged by the first orifice . As the ... Equations . Ans . If 5 * CH . III . § I. ] PUTTING QUESTIONS INTO EQUATIONS . 53.
Page 54
... equation is 11⁄2 x - x = 50 . 9. A work is to be printed , so that each page ... Solution . Let x = the number of lines in a page , - y the number of letters ... equations 4x + 3y + 12 = 224 ; and , in the same way , the condition , that ...
... equation is 11⁄2 x - x = 50 . 9. A work is to be printed , so that each page ... Solution . Let x = the number of lines in a page , - y the number of letters ... equations 4x + 3y + 12 = 224 ; and , in the same way , the condition , that ...
Other editions - View all
Common terms and phrases
126 become zero 3d root arithmetical progression coefficient commensurable roots common difference contained continued fraction continued product Corollary deficient terms denote derivative Divide dividend division equal roots equal to zero equation x² factor Find the 3d Find the 4th Find the continued Find the greatest Find the number Find the square Find the sum Free the equation Geometrical Progression given equation given number gives greatest common divisor Hence imaginary roots last term least common multiple letter logarithm monomials multiplied number of real number of terms polynomial positive roots preceding article Problem quantities in example quotient radical quantities ratio real roots reduced remainder required equation required number row of signs Scholium Second Degree Solution Solve the equation square root Sturm's Theorem subtracted Theorem unity unknown quan unknown quantity variable whence