Page:Elementary algebra (1896).djvu/15

CONTENTS. xi CHAPTER PAGE XXI. Evolution 176 Square Root of a Multinomial 177 Cube Root of a Multinomial 181 Some Higher Roots 185 The nth Root of a Multinomial 186 Square and Cube Root of Numbers 187

XXII. The Theory of Indices 191 Meaning of Fractional Exponent 193 Meaning of Zero Exponent 193 Meaning of Negative Exponent. 194

XXIII. Surds (Radicals) 203 Reduction of Surds 205 Addition and Subtraction of Surds 207 Multiplication of Surds 208 Division of Surds 209 Compound Surds 211 Factor which will rationalize Any Binomial Surd 214 Properties of Quadratic Surds 216 Square Root of a Binomial Surd 217 Square Root of a Binomial Surd by Inspection 218 Equations involving Surds 220

XXIV. Imaginary Quantities 222 Imaginary Unit 223 Fundamental Algebraic Operations 225

XXV. Problems 227 Miscellaneous Examples IV. 232

XXVI. Quadratic Equations 235 Pure Quadratic Equations 236 Affected Quadratic Equations 237 Solution by Formula 239 Solution by Factoring 241 Formation of Equations with Given Roots 242 Values found for the Unknown Quantity which do not satisfy the Original Equation 243

XXVII. Equations in Quadratic Form 245

XXVIII. Simultaneous Equations involving Quadratics 249 Homogeneous Equations of the Same Degree 253 Symmetrical Equations 254 Miscellaneous Cases 255