An Elementary Treatise on Algebra: To which are Added Exponential Equations and Logarithms |
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Page 51
... required equation , x + 107 = 120 . 2. A merchant adds yearly to his capital ... required equation is x - 4111 = 2 x . 3. A courier , who goes 31 miles ... number of hours , the num- ber of hours which the first courier is on the ...
... required equation , x + 107 = 120 . 2. A merchant adds yearly to his capital ... required equation is x - 4111 = 2 x . 3. A courier , who goes 31 miles ... number of hours , the num- ber of hours which the first courier is on the ...
Page 52
... required number of days , the required equation is bx = a ( x + n ) . 5. A regiment marches from the place A , on the road to B , at the rate of 7 leagues every 2 days ; 8 days after , another regiment marches from B , on the road to A ...
... required number of days , the required equation is bx = a ( x + n ) . 5. A regiment marches from the place A , on the road to B , at the rate of 7 leagues every 2 days ; 8 days after , another regiment marches from B , on the road to A ...
Page 53
... required number of miles , the required equation is 6 x 216 . 7. From two different sized orifices of a reservoir , the water runs with unequal velocities . We know that the ori- fices are in size as 5 : 13 , and the velocities of the ...
... required number of miles , the required equation is 6 x 216 . 7. From two different sized orifices of a reservoir , the water runs with unequal velocities . We know that the ori- fices are in size as 5 : 13 , and the velocities of the ...
Page 54
... required number of paces , the required equation is x x = 50 . 9. A work is to be printed , so that each page may con- tain a certain number of lines , and each line a certain num- ber of letters . If we wished each page to contain 3 ...
... required number of paces , the required equation is x x = 50 . 9. A work is to be printed , so that each page may con- tain a certain number of lines , and each line a certain num- ber of letters . If we wished each page to contain 3 ...
Page 55
... required equations are x + y + z = 96 4x - 4y - 4z = 6y - 2x - 2z 4x - 4y - 4z = 7z - x - у . 11. A certain number consists of three digits , of which the digit occupying the place of tens is half the sum of the other two . If this number ...
... required equations are x + y + z = 96 4x - 4y - 4z = 6y - 2x - 2z 4x - 4y - 4z = 7z - x - у . 11. A certain number consists of three digits , of which the digit occupying the place of tens is half the sum of the other two . If this number ...
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Common terms and phrases
126 become zero 3d root arithmetical mean arithmetical progression Binomial Theorem 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 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