Elements of Algebra with Exercises |
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Elements of Algebra with Exercises George Egbert Fisher,Isaac Joachim Schwatt No preview available - 2016 |
Common terms and phrases
a₁ a²b a²b² a²x a²x² a³b ab² absolute value arithmetical arithmetical means assigned number ax² binomial coefficient common factor Commutative Law complex number continued fraction convergent decimal definition denominator digits divided divisor dollars equal equivalent exactly divisible EXERCISES exponent Find the values following expressions following principle geometrical progression given equation given expression given system harmonical means integer irrational number less letter of arrangement logarithm miles monomial multinomial multiplied negative number obtained parentheses partial fractions positive integer positive number powers preceding problem quadratic equation r₁ radicand rational number remainder required numbers result second term Simplify solution Solve the equation square root Substituting subtracted surd symbolically trinomial unknown number whence wherein x²y x²y² xy² yards
Popular passages
Page 209 - Nos. 1 and 2, 3 and 4, 5 and 6, 7 and 8, 9 and 10, 11 and 12.
Page 73 - Divide the first term of the dividend by the first term of the divisor, the result will be the first term of the quotient.
Page 409 - We will now derive a formula for the number of permutations of n things, taken all at a time, when some of them are alike.
Page 64 - In the multiplication of whole numbers, place the multiplier under the multiplicand, and multiply each term of the multiplicand by each term of the multiplier, writing the right-hand figure of each product obtained under the term of the multiplier which produces it.
Page 100 - The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first and the second, plus the square of the second.
Page 361 - One quantity is said to vary directly as a second and inversely as a third, when it varies as the second and the reciprocal of the third jointly.
Page 306 - If the resulting coefficient о/ж2 be not +1, divide both members by this coefficient. Complete the square by adding to both members the square of half the coefficient of x. Equate the positive square root of the first member to the positive and negative square roots of the second member. Solve the resulting equations.
Page 467 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 351 - Two workmen can do a piece of work in 6 days. How long will it take each of them to do the work, if it takes one 5 days longer than the other ? 19.
Page 204 - Arts. 1-4 are illustrations of the following general principles, which will be proved later : A system of linear equations has a definite number of solutions, (i.) When the number of equations is the same as the number of unknown numbers. (ii.) When the equations are independent and consistent.