# University Algebra

Robert S. Davis & Company, 1879 - Algebra - 444 pages
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### Contents

 DIVISION 31 FACTORING 40 GREATEST COMMON DIVISOR 53 LEAST COMMON MULTIPLE 61 FRACTIONS 66 Reduction of Fractions 70 Addition and Subtraction of Fractions 78 Multiplication of Fractions 82 Division of Fractions 85 Complex Fractions 87 SIMPLE EQUATIONS 89 ONE UNKNOWN QUANTITY Transformation of Equations 91 SIMPLE EQUATIONS MORE THAN TWO UNKNOWN QUAN 123 DISCUSSION OF PROBLEMS 137 INEQUALITIES 148 EVOLUTION 158 THE THEORY OF EXPONENTS 176
 BINOMIAL THEOREM ANY EXPONENT 321 LOGARITHMS 339 1 4 5 5 8 348 14 350 19 353 38 357 GENERAL THEORY OF EQUATIONS 369 SOLUTION OF HIGHER NUMERICAL EQUATIONS 377 ANSWERS TO EXAMPLES 391 40 393 61 394 66 399 70 401 78 410 85 429 91 Copyright

### Popular passages

Page 32 - 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.
Page 58 - The LEAST COMMON MULTIPLE of two or more quantities is the least quantity that can be divided by each of them without a remainder.
Page 160 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...
Page 50 - The GREATEST COMMON DIVISOR of two or more quantities is the greatest quantity that will divide each of them without a remainder.
Page 149 - RULE. Raise the numerical coefficient to the required power, and multiply the exponent of each letter by the exponent of the required power.
Page 263 - Hence -,- = -76" dn that is a" : b" = c" : dn THEOREM IX. 23 1 If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d...
Page 133 - A banker has two kinds of money. It takes a pieces of the first kind to make a dollar, and b pieces of the second kind. If he is offered a dollar for с pieces, how many of each kind must he give ? 81.
Page 83 - A Complex Fraction is one having a fraction in its numerator or denominator, or both. It may be regarded as a case in division ; its numerator answering to the dividend, and its denominator to the divisor. EXAMPLES. 1. Reduce — — to it
Page 145 - If the signs of all the terms of an inequality be changed, the sign of inequality must be reversed. For, to change all the signs is equivalent to...
Page 269 - If the illumination from a source of light varies inversely as the square of the distance, how much farther from a candle must a book, which is now 15 inches off, be removed, so as to receive just one-third as much light ? 20.