A first book of algebra, including the binomial theorem1867 |
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Página 15
William Rossiter. This idea is also expressed by using a vinculum ; thus square root of 4a and 3b regarded as 4a + 3b , without the vinculum , would √4a + 36 means the one quantity , while mean the square ... find the numerical values of m ...
William Rossiter. This idea is also expressed by using a vinculum ; thus square root of 4a and 3b regarded as 4a + 3b , without the vinculum , would √4a + 36 means the one quantity , while mean the square ... find the numerical values of m ...
Página 119
... square of 4abc2 ? ( 6. ) Required the cube of 5m2x3y1z3 . LI . To find any power of a fraction we must raise both numerator and denominator to that power . For instance , to find the square of . This is ( ) , i.e. × 1 , or of - 1224 12 ...
... square of 4abc2 ? ( 6. ) Required the cube of 5m2x3y1z3 . LI . To find any power of a fraction we must raise both numerator and denominator to that power . For instance , to find the square of . This is ( ) , i.e. × 1 , or of - 1224 12 ...
Página 120
... Find the 4th power of 10abmxz . ( 4. ) What is the 5th power of 2xyz ? ( 5. ) Find the 6th power of 3abcde . ( 6. ) Raise 3xyz to its 7th power . L. We have seen that xxx , but it may be required to find the square of x2 , i.e. ( x2 ) 2 ...
... Find the 4th power of 10abmxz . ( 4. ) What is the 5th power of 2xyz ? ( 5. ) Find the 6th power of 3abcde . ( 6. ) Raise 3xyz to its 7th power . L. We have seen that xxx , but it may be required to find the square of x2 , i.e. ( x2 ) 2 ...
Página 121
... square of 4a2bc2 ? ( 6. ) Required the cube of 5m2x3y1z3 . LI . To find any power of a fraction we must raise both numerator and denominator to that power . For instance , to find the square of . This is ( 1 ) 2 , i.e. 1 × 1 , or of 12 ...
... square of 4a2bc2 ? ( 6. ) Required the cube of 5m2x3y1z3 . LI . To find any power of a fraction we must raise both numerator and denominator to that power . For instance , to find the square of . This is ( 1 ) 2 , i.e. 1 × 1 , or of 12 ...
Página 122
... square of ? mn xy abc ( 2 ) Find the cube of mn a2 ( 3. ) Required the 4th power of ( 4. ) What is the square of ? ( 5. ) What is the 5th power x2y mx2 ny ? amx2 of P ny z ( 6. ) Find the 6th power of ab2xy3 mn2z3 LII . In finding the ...
... square of ? mn xy abc ( 2 ) Find the cube of mn a2 ( 3. ) Required the 4th power of ( 4. ) What is the square of ? ( 5. ) What is the 5th power x2y mx2 ny ? amx2 of P ny z ( 6. ) Find the 6th power of ab2xy3 mn2z3 LII . In finding the ...
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A First Book of Algebra, Including the Binomial Theorem William Rossiter Sin vista previa disponible - 2016 |
Términos y frases comunes
3rd power 4th power a+b+c acres added addition algebraic fractions algebraic quantities answer arithmetic arranged B's money binomial theorem bought Clearing of fractions common difference common measures common multiples common ratio complete quotient cows cube root denominator divided division divisor equal exponent extraction figures Find the common Find the cube Find the expression Find the square find the value following examples formula gallons give given improper fraction INVOLUTION known last term less means merator miles multiplied number of days number of terms number of things numerical coefficients OXFORD STREET problem proper fraction quadratic equations quotient remainder sheep side solving square root subtraction taken tion total number Transposing unknown quantity walked whole number writing written x²+2xy x²y² 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.