A Treatise on the Elements of AlgebraCumming & Ferguson, 1846 - 80 páginas |
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Página 25
... changed , and incorporating the like terms , we have 10a2 — 6ax + 6 , for the difference required . 7a2 - 4ax + 11 -3a2 + 2ax + 5 10a2—6ax + 6 2. From 5a - 6x subtract 2a - 3r . Here the required difference is 5a — 6x- ( 2a — 3x ) = 5a ...
... changed , and incorporating the like terms , we have 10a2 — 6ax + 6 , for the difference required . 7a2 - 4ax + 11 -3a2 + 2ax + 5 10a2—6ax + 6 2. From 5a - 6x subtract 2a - 3r . Here the required difference is 5a — 6x- ( 2a — 3x ) = 5a ...
Página 35
... changed into x + h . Here a2 becomes ( x + h ) 2 or ( x + h ) ( x + h ) that is x2 + 2xh + h2 . * 39. SCHOL . The literal parts in the factors of a required product , are often so related , that the law according to which the terms of ...
... changed into x + h . Here a2 becomes ( x + h ) 2 or ( x + h ) ( x + h ) that is x2 + 2xh + h2 . * 39. SCHOL . The literal parts in the factors of a required product , are often so related , that the law according to which the terms of ...
Página 48
James Bryce. signs of the partial products will be thus at once changed , and the subtractions converted into additions . * The work will then be as follows ; at the conclusion of the operation , the signs of the quotient must be again ...
James Bryce. signs of the partial products will be thus at once changed , and the subtractions converted into additions . * The work will then be as follows ; at the conclusion of the operation , the signs of the quotient must be again ...
Página 49
... changed , and multiplying we have the second partial pro- duct , -3x + 21x2 . Adding now 21x2 to -34x2 , and dividing mentally , we have 13x for the next term of the quotient , and 13x2 - 91x for the third product . Again , performing ...
... changed , and multiplying we have the second partial pro- duct , -3x + 21x2 . Adding now 21x2 to -34x2 , and dividing mentally , we have 13x for the next term of the quotient , and 13x2 - 91x for the third product . Again , performing ...
Página 74
... changed . a Let be the fraction , and x its value , so that - b a b = then , if the numerator be multiplied by n , the fraction will become an = nx ( Art . 65 ) ; and if the denominator of this new fraction be multiplied by n , we shall ...
... changed . a Let be the fraction , and x its value , so that - b a b = then , if the numerator be multiplied by n , the fraction will become an = nx ( Art . 65 ) ; and if the denominator of this new fraction be multiplied by n , we shall ...
Términos y frases comunes
2d Edition 4th power a²+b² added Algebra ANSWERS arithmetic means arithmetical bd bd binomial theorem bound cloth coefficients complete quotient compound quantity contained cube root denominator denotes Divide dividend divisor English equal EXAMPLES EXERCISES expression Extract the square factors Find the G. C. M. find the number Find the sum Find the value follows Given Equations gives Grammar greatest common measure Greek Hence indices infinite series integer last Art Latin least common multiple logarithms method nature of division negative quantities nth root number of balls number of terms obtained partial products plain positive quadratic quadratic surd quan quotient rational quantity remainder rule second term sides square root substitution subtracted sum and difference Sum the series surd tities unknown quantity VALPY Valpy's whence whole number
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