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Elementary Algebra: Embracing the First Principles of the Science
Uten tilgangsbegrensning - 1856
algebraic expression Algebraic Fractions algebraic quantities apples arithmetical arithmetical means binomial Binomial Formula called cents Charles Clear the equation common denominator common difference completing the square contains contrary signs cube denote the number dividend divisor dollars elimination equation x2 EXAMPLES exponent extract the square fifth power find a number Find the factors Find the square Find the sum Find the values following RULE Form the square four fourth power fraction geometrical progression give a sum Give the rule given number greater greyhound Hence John last term leaps least common multiple Let x denote logarithm metical minus mixed quantity monomial negative number added number of terms obtain perfect square progression proportion quotient radical sign ratio remainder result second degree second term simplest form square root Substituting this value subtract sum equal third transposing trinomial units unknown quantity values of x Verification whence
Side 160 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product 'from the dividend, and to the remainder bring down the next period for a new dividend.
Side 67 - Then divide the first term of the remainder by the first term of the divisor...
Side 60 - I. Divide the coefficient of the dividend by the coefficient of the divisor.
Side 197 - Since the square of a binomial is equal to the square of the first term, plus twice the product of the first term by the second, plus the square of the second...
Side 138 - If A and B together can perform a piece of work in 8 days, A and C together in 9 days, and B and C in 10 days : how many days would it take each person to perform the same work alone ? Ans. A 14JA days, B 17fa, and C 23JT.
Side 138 - A person bought a chaise, horse, and harness, for £60 ; the horse came to twice the price of the harness, and the chaise to twice the price of the horse and harness ; what did he give for each?
Side 111 - Two persons, A and B, lay out equal sums of money in trade; A gains $126, and B loses $87, and A's money is now double of B's : what did each lay out ? Ans. $300.
Side 179 - It has already been shown (Art. 46), that, (a + b)2 = a2 + 2ab + b2 ; that is, The square of a binomial is equal to the square of the first term plus twice the product of the first term by the second, plus the square of the second.