The elements of algebraOliver & Boyd, 1857 - 95 σελίδες |
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Αποτελέσματα 1 - 5 από τα 9.
Σελίδα 11
... obtained . Thus to multiply x3- 2x2 + 3x1 by 2x2 + 3x + 2 . ---- 2 + 3 .1 2 + 3 + 2 2. 4+ 6 2 3 6 + 9-3 - 2- 4 + 6-2 1 + 2 + 3 + 3. -2 x + 2x3 + 3x2 + 3x - 2 2 Ans . 2x5 Write out the coeffi- cients of the multiplier and multiplicand in ...
... obtained . Thus to multiply x3- 2x2 + 3x1 by 2x2 + 3x + 2 . ---- 2 + 3 .1 2 + 3 + 2 2. 4+ 6 2 3 6 + 9-3 - 2- 4 + 6-2 1 + 2 + 3 + 3. -2 x + 2x3 + 3x2 + 3x - 2 2 Ans . 2x5 Write out the coeffi- cients of the multiplier and multiplicand in ...
Σελίδα 22
... of the given denominators , for the common denominator , then multiply the numerators respec- tively by the quotients obtained by dividing this Least Common Multiple by the denominators . ( 3. ) a + x аx ( 4. ) 22 FRACTIONS .
... of the given denominators , for the common denominator , then multiply the numerators respec- tively by the quotients obtained by dividing this Least Common Multiple by the denominators . ( 3. ) a + x аx ( 4. ) 22 FRACTIONS .
Σελίδα 36
... obtained two equations containing only two unknown quantities , their values may readily be found as in the examples already given . In this case we have eliminated ≈ between the first and second equations , and then between the second ...
... obtained two equations containing only two unknown quantities , their values may readily be found as in the examples already given . In this case we have eliminated ≈ between the first and second equations , and then between the second ...
Σελίδα 37
... obtained by subtracting 4 from the number , and multiply- ing the remainder by 4. Find the number . Ans . 10 . ( 7. ) Find a number such that if its sixth part be added to the seventh part of its double , the sum shall be 31⁄2 less than ...
... obtained by subtracting 4 from the number , and multiply- ing the remainder by 4. Find the number . Ans . 10 . ( 7. ) Find a number such that if its sixth part be added to the seventh part of its double , the sum shall be 31⁄2 less than ...
Σελίδα 52
... obtained which will be free of surds . If the equation contain more than one surd , the same pro- cess must be repeated as often as may be necessary . EXERCISES . Resolve the following equations : ( 1. ) 52 SURDS OR RADICALS . 32.
... obtained which will be free of surds . If the equation contain more than one surd , the same pro- cess must be repeated as often as may be necessary . EXERCISES . Resolve the following equations : ( 1. ) 52 SURDS OR RADICALS . 32.
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
a+b+c a²+2ab+b² annex arithmetical series ax² binomial binomial theorem coefficient common denominator common difference common ratio compound quantity consecutive numbers cube root deno denote the number Divide divisor double equal equation contains EXERCISES expressed Extract the square factor Find a number find the Greatest Find the number Find the sum following fractions following quantities geometric means given quantity Greatest Common Measure Hence Least Common Multiple letters miles per hour mixed quantities multiplied negative number of balls number of combinations number of permutations number of terms numbers whose sum numerator and denominator Prove QUADRATIC EQUATIONS quotient remainder shillings side sign changed simple quantity square root subtracting surd t₁ things taken third total number transposing travelled unknown quantity ах
Δημοφιλή αποσπάσματα
Σελίδα 61 - 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 of the other part.
Σελίδα 88 - The fore-wheel of a carriage makes six revolutions more than the hind-wheel in going 120 yards ; but if the circumference of each wheel be increased one yard, it will make only four revolutions more than the hind-wheel in going the same distance.
Σελίδα 60 - Divide the number 24 into two such parts, that their product shall be to the sum of their squares, as 3 to 10.
Σελίδα 16 - If the numerator and denominator of a fraction be both multiplied or both divided by the same number, the value of the fraction is not altered.
Σελίδα 44 - Divide the first term of the remainder by three times the square of the first term of the root, and write the result as the next term of the root.
Σελίδα 9 - A power of a quantity is divided by any other power of the same quantity by subtracting the index of the divisor from that of the dividend, the quotient being that power of the quantity whose index is the remainder so obtained.
Σελίδα 66 - From the preceding, it appears, that the sum of the extremes is equal to the sum of any other two terms equally distant from the extremes.
Σελίδα 41 - ... be divided by the number of terms to that place, it will give the coefficient of the term next following.
Σελίδα 44 - Take the root of the first term, for the first term of the required root...
Σελίδα 40 - A man was hired 50 days on these conditions. — that, for every day he worked, he should receive $ '75, and, for every day he was idle, he should forfeit $ '25 ; at the expiration of the time, he received $ 27'50 ; how many days did he work...