A first book of algebra, including the binomial theorem1867 |
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Página 118
... Raise a to the 5th power . This means x × × × × × × × x = 205 . So that we may at once express the answer to any pro- blem of this kind by writing down , once , the given quantity , affixing to it the number of the required power as an ...
... Raise a to the 5th power . This means x × × × × × × × x = 205 . So that we may at once express the answer to any pro- blem of this kind by writing down , once , the given quantity , affixing to it the number of the required power as an ...
Página 119
William Rossiter. for Example . Raise y to the 6th power . Example . Raise xy to the 4th power . Answer yo . Answer x1y1 . Here we must affix the index 4 to each algebraic quantity , ху to the 4th power = xyxyxyxy x * y * . Example . Raise ...
William Rossiter. for Example . Raise y to the 6th power . Example . Raise xy to the 4th power . Answer yo . Answer x1y1 . Here we must affix the index 4 to each algebraic quantity , ху to the 4th power = xyxyxyxy x * y * . Example . Raise ...
Página 119
William Rossiter. 118 pre 20 Y ( ( Ι pre tog nen and this ( a - i the Ί pow Ί i.e. ( x- xX Τ ( x- I I Ί S blen affix or e 2 Example . Raise x'y ' to the 2nd power .
William Rossiter. 118 pre 20 Y ( ( Ι pre tog nen and this ( a - i the Ί pow Ί i.e. ( x- xX Τ ( x- I I Ί S blen affix or e 2 Example . Raise x'y ' to the 2nd power .
Página 119
... raising a fraction to any power , its actual value is decreased , as in multiplication of fractions ; and the higher the power the smaller the value . In fact , raising Example . Raise 2abc to the 3rd power . ( 6 INVOLUTION . 121.
... raising a fraction to any power , its actual value is decreased , as in multiplication of fractions ; and the higher the power the smaller the value . In fact , raising Example . Raise 2abc to the 3rd power . ( 6 INVOLUTION . 121.
Página 120
... Raise 11xyz to the 4th power . ( 11xyz ) = 11 * x * y * z1 . = 11x11x11x11xx'y ' ' . 14641x1y * z * . = Example . Raise 10amx to the 5th power . ( 10amx ) 5 = 105a5m3x5 . = 100000a3m3x5 . EXAMPLES . ( 1. ) What is the 3rd power of 4abcd ...
... Raise 11xyz to the 4th power . ( 11xyz ) = 11 * x * y * z1 . = 11x11x11x11xx'y ' ' . 14641x1y * z * . = Example . Raise 10amx to the 5th power . ( 10amx ) 5 = 105a5m3x5 . = 100000a3m3x5 . EXAMPLES . ( 1. ) What is the 3rd power of 4abcd ...
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A First Book of Algebra, Including the Binomial Theorem William Rossiter Sin vista previa disponible - 2016 |
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4th power A's money acres added addition algebra amount answer arithmetic arranged becomes Book bought called changed CHAPTER Clearing coefficient common complete containing continual cows cube root denominator difference divided dividend division divisor easily equal equation evidently Example expressed extraction figures Find the cube Find the square formula four fractions give given half horses increase known last term leaving less letters means measures method miles multiplied Notice number of terms obtained occurs once PAGE positive practice problem proportion quadratic equations question quotient Raise ratio remainder respectively rule seen share sheep shillings side simple solving square root Substituting subtraction taken things third tion twice unknown quantity walked whole worth writing written yards
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.