A first book of algebra, including the binomial theorem1867 |
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Página 22
... questions is not to trouble yourself as to the value of the quantities , but to perform the needful operations and to take the answers in good faith until the end , when the values generally become known . ( 41. ) 7ab4cd , -2ab7cd , 4ab ...
... questions is not to trouble yourself as to the value of the quantities , but to perform the needful operations and to take the answers in good faith until the end , when the values generally become known . ( 41. ) 7ab4cd , -2ab7cd , 4ab ...
Página 42
... question is , " how many times is 6 contained in 30a ? " or , otherwise , " how 30a ? " and this can only be 5a , many - - -6's will make since 5a times --- - - -6 would be + 30a and not -30a . In example ( 4 ) the question is how many ...
... question is , " how many times is 6 contained in 30a ? " or , otherwise , " how 30a ? " and this can only be 5a , many - - -6's will make since 5a times --- - - -6 would be + 30a and not -30a . In example ( 4 ) the question is how many ...
Página 43
William Rossiter. example ( 4 ) the question is how many times - 5 will make 45a , and the answer is evidently -9a , for + 9a times — 5 would make 45a and not + 45a . - ( 5. ) Divide Sab by 26 . 20cd by 4d . ( 6. ) Divide ( 7. ) Divide ...
William Rossiter. example ( 4 ) the question is how many times - 5 will make 45a , and the answer is evidently -9a , for + 9a times — 5 would make 45a and not + 45a . - ( 5. ) Divide Sab by 26 . 20cd by 4d . ( 6. ) Divide ( 7. ) Divide ...
Página 45
... question is , how many times must be taken to make 3 ? But a multiplied by a will make 3 , therefore , there must be x times x2 in x3 ; x , therefore , is the quotient of a3 by x , and the complete quotient of 15a3 by 5x2 is 3x . The ...
... question is , how many times must be taken to make 3 ? But a multiplied by a will make 3 , therefore , there must be x times x2 in x3 ; x , therefore , is the quotient of a3 by x , and the complete quotient of 15a3 by 5x2 is 3x . The ...
Página 51
... questions in algebraic division will occasionally lead to quotients that have no end , but the numerical values of which may never- theless be calculated to any required degree of approximation . x3 . ( 49. ) Divide - 9x2 + 27x 3-2 ...
... questions in algebraic division will occasionally lead to quotients that have no end , but the numerical values of which may never- theless be calculated to any required degree of approximation . x3 . ( 49. ) Divide - 9x2 + 27x 3-2 ...
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A First Book of Algebra, Including the Binomial Theorem William Rossiter Sin vista previa disponible - 2016 |
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Pasajes populares
Página 160 - A square court yard has a rectangular gravel walk round it. The side of the court wants 2 yards of being 6 times the breadth of the gravel walk ; and the number of square yards in the walk exceeds the number of yards in the periphery of the court by 164. Required the area of the court ? All equations of the second degree may be reduced to one of the following forms.
Página 39 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Página 169 - How many hours a day must 42 boys work, to do in 45 days what 27 men can do in 28 days of 10 hours each, the work of a boy being half that of a man ? 11. If 8 guineas be expended in purchasing Brussels carpet f yd. wide, at 3».
Página 120 - Divide the first term of the remainder by twice the first term of the root, and add the quotient to the part of the root already found, and also to the trial-divisor.
Página 120 - The square of the sum of two numbers is equal to the square of the first number plus twice the product of the first and second number plus the square of the second number.
Página 128 - N, and divide the first term of the remainder by 3 times the square of the first term of R, the quotient will be the third term of the root.
Página 206 - Eequired the numbers. 6. The sum of three numbers in geometrical progression is 35, and the mean term is to the difference of the extremes as 2 to 3. Required the numbers. Ans. 5, 10, 20. 7. The sum of £ 14 was divided between three persons, whose shares were in geometrical progression ; the sum of the shares of the first and second was to the sum of the shares of the second and third as 1 to 2.
Página 88 - Divide the number 36 into 3 such parts, that* \ of the first, \ of the second, and \ of the third, shall be equal to each other.
Página 207 - Bought two flocks of sheep for 65/. 13s., one containing 5 more than the other. Each sheep cost as many shillings as there were sheep in the flock. Required the number in each flock. Ans. 23, and 28.
Página 93 - ... 2. A can do a piece of work in a days and B in b days.