An Elementary Treatise on Algebra: To which are Added Exponential Equations and Logarithms |
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Page 18
... method to ar- range the terms of the dividend and divisor according to the powers of some letter , the term which contains the highest power being placed first , that which con- tains the next to the highest power being placed next ...
... method to ar- range the terms of the dividend and divisor according to the powers of some letter , the term which contains the highest power being placed first , that which con- tains the next to the highest power being placed next ...
Page 51
... Method of putting into equations . Let the original sum expressed in dollars . After taking away the third part and putting in its stead $ 50 , there remains two thirds of the original sum increased by $ 50 , or x + 50 . If from this ...
... Method of putting into equations . Let the original sum expressed in dollars . After taking away the third part and putting in its stead $ 50 , there remains two thirds of the original sum increased by $ 50 , or x + 50 . If from this ...
Page 87
... Method of Solution called that of Elimina- tion by Substitution . Find the value of either of the unknown quantities in one of the equations in which it occurs , and substitute its value thus found , which is generally in terms of the ...
... Method of Solution called that of Elimina- tion by Substitution . Find the value of either of the unknown quantities in one of the equations in which it occurs , and substitute its value thus found , which is generally in terms of the ...
Page 95
... method of solution be applied to a greater number of equations , it will lead to similar results . 152. EXAMPLES . 1. Solve the three equations 6 , x + y + z = 2x + 3y + 4x = 20 , 3x + 7y + 5x = 32 . Ans . x1 , y = 2 , z = 3 . 2. Solve ...
... method of solution be applied to a greater number of equations , it will lead to similar results . 152. EXAMPLES . 1. Solve the three equations 6 , x + y + z = 2x + 3y + 4x = 20 , 3x + 7y + 5x = 32 . Ans . x1 , y = 2 , z = 3 . 2. Solve ...
Page 96
... Method of solving the Problem of art . 142 , called that of Elimination by Comparison . Find the value of either of the unknown quantities in all the equations in which it is contained ; place either of the values thus obtained equal to ...
... Method of solving the Problem of art . 142 , called that of Elimination by Comparison . Find the value of either of the unknown quantities in all the equations in which it is contained ; place either of the values thus obtained equal to ...
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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