An Introduction to Algebra, and to the Solution of Numerical Equations1851 - 12 sider |
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Resultater 1-5 af 33
Side x
... Root of an expression ... 72 On the Extraction of the Cube Root of a Compound Quantity ...... 73 New mode of arrangement proposed for the Square Root Application of this method to Examples ALGEBRAIC FRACTIONS CHAPTER III . Introduction ...
... Root of an expression ... 72 On the Extraction of the Cube Root of a Compound Quantity ...... 73 New mode of arrangement proposed for the Square Root Application of this method to Examples ALGEBRAIC FRACTIONS CHAPTER III . Introduction ...
Side xi
... extract the Square Root of a Binomial Surd .... 159 On Imaginary or Impossible Quantities .. 161 Multiplication of Imaginary Quantities 164 166 Division of Imaginary Quantities CHAPTER VII . ON QUADRATIC EQUATIONS WITH ONLY ONE UNKNOWN ...
... extract the Square Root of a Binomial Surd .... 159 On Imaginary or Impossible Quantities .. 161 Multiplication of Imaginary Quantities 164 166 Division of Imaginary Quantities CHAPTER VII . ON QUADRATIC EQUATIONS WITH ONLY ONE UNKNOWN ...
Side 59
... root differs considerably from that for the square root ; and in the case of odd roots especially , the difficulty very materially increases with the increase of the ex- ponent of the radical sign . But whatever be the rule for extracting ...
... root differs considerably from that for the square root ; and in the case of odd roots especially , the difficulty very materially increases with the increase of the ex- ponent of the radical sign . But whatever be the rule for extracting ...
Side 63
... root , the result of the solution is always ambiguous , as to sign , when the root to be extracted is even , and no special re- strictions are imposed . Thus , the square root of 16 is ambi- guously either 4 or -4 , because either ...
... root , the result of the solution is always ambiguous , as to sign , when the root to be extracted is even , and no special re- strictions are imposed . Thus , the square root of 16 is ambi- guously either 4 or -4 , because either ...
Side 65
... extract a root of a monomial or simple quantity : - RULE . First , write down the root of the coefficient with its ... roots of the quantities . on the left , is obvious ; for the latter are all reproduced by the reverse operation of ...
... extract a root of a monomial or simple quantity : - RULE . First , write down the root of the coefficient with its ... roots of the quantities . on the left , is obvious ; for the latter are all reproduced by the reverse operation of ...
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An Introduction to Algebra, and to the Solution of Numerical Equations John Radford Young Ingen forhåndsvisning - 2015 |
Almindelige termer og sætninger
actually algebraists arithmetic brackets called changed coefficients common denominator complete square Completing the square compound quantity consequently cube root difference divi Divide dividend equa equal EXAMPLES FOR EXERCISE exponents extract the square Extracting the root factors figure formula given greatest common measure hence imaginary improper fraction indicated known leading term learner least common multiple letters logarithms multiplication and division multiplied namely notation nth root operation pair polynomial positive preceding principle proper signs proposed equation quadratic equation quadratic surd question quotient radical sign ratic rational reduced remainder represent result rule rule of signs second term side simple equation simple quantity simultaneous equations solution solved square root step substitution symbols thing third tion transformed equation Transposing transposition trial divisor unknown quantity unknown terms write zero
Populære passager
Side 69 - ... subtract the product from the dividend, and to the remainder annex the next period for the next dividend.
Side 144 - If the number be divided by the sum of the digits, the quotient will be 26; but, if 198 be added to it, the digits will be inverted.
Side 144 - To divide the number 90 into four such parts, that if the first be increased by 2, the second diminished by 2, the third multiplied by 2, and the fourth divided by 2, the sum, difference, product, and quotient so obtained, will be all equal to each other.
Side 182 - To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part.
Side 141 - If A and в together can perform a piece of work in 8 days, A and с together in 9 days, and в and с in 10 days, how many days will it take each person to perform the same work alone.
Side 142 - What fraction is that, to the numerator of which, if 4 be added, the value is 1, but if 7 be added to its denominator, its value will be | ? Ans.
Side 130 - Find the value of one of the unknown quantities, in terms of the other and known quantities...
Side 180 - A farmer bought some sheep for £72, and found that if he had received 6 more for the same money, he would have paid £1 less for each. How many sheep did he buy ?
Side 142 - ... 6. There is a number consisting of two digits, which is equal to four times the sum of those digits; and if 18 be added to it, the digits will be inverted. What is the number?
Side 126 - Two workmen A and B were engaged to work for a certain number of days at different rates. At the end of the time, A who had played 4 of those days had 75 shillings to receive ; but B who had played 7 of those days received only 48 shillings.