College AlgebraScott, Foresman, 1901 - 777 páginas |
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Página vi
... imaginary by Hankel in his Complexe Zahlensysteme , in 1867 , and was completed by Cantor's theory of the irrational in 1871 . A careful distinction is made between an equation and an identity . It is pointed out that the solution of an ...
... imaginary by Hankel in his Complexe Zahlensysteme , in 1867 , and was completed by Cantor's theory of the irrational in 1871 . A careful distinction is made between an equation and an identity . It is pointed out that the solution of an ...
Página xi
... Imaginary Numbers 93 94 96 98 99 CHAPTER IX GREATEST COMMON DIVISOR AND LEAST COMMON MULTIPLE G. C. D. of Quantities Readily Factored 101 G. C. D. of Two or more Algebraic Expressions 102 Least Common Multiple of Quantities readily ...
... Imaginary Numbers 93 94 96 98 99 CHAPTER IX GREATEST COMMON DIVISOR AND LEAST COMMON MULTIPLE G. C. D. of Quantities Readily Factored 101 G. C. D. of Two or more Algebraic Expressions 102 Least Common Multiple of Quantities readily ...
Página xiv
... IMAGINARY AND COMPLEX NUMBERS 349 350 355 359 363 366 368 Pure Imaginary Numbers and their Properties Addition , Multiplication , Division by i and Powers of i 373 374 Addition , Subtraction , Multiplication , and Division of Pure ...
... IMAGINARY AND COMPLEX NUMBERS 349 350 355 359 363 366 368 Pure Imaginary Numbers and their Properties Addition , Multiplication , Division by i and Powers of i 373 374 Addition , Subtraction , Multiplication , and Division of Pure ...
Página xv
... IMAGINARY Roors Imaginary Roots 398 Real , Equal , and Imaginary Roots , Condition for . 400 Solution of the Equation + px + q = 0 and Condition for Real , Equal , and Imaginary Roots 401 CHAPTER IV FACTORING OF A TRINOMIAL Factors of x ...
... IMAGINARY Roors Imaginary Roots 398 Real , Equal , and Imaginary Roots , Condition for . 400 Solution of the Equation + px + q = 0 and Condition for Real , Equal , and Imaginary Roots 401 CHAPTER IV FACTORING OF A TRINOMIAL Factors of x ...
Página xx
... Imaginary Roots 744 CHAPTER III THE EQUATION OF THE FOURTH DEGREE Resolvent Cubic 746 CHAPTER IV THE ROOTS OF UNITY Solution of Equation " = 1 752 Cube and Biquadratic Roots of 1 - Quinary Roots of 1- Geometrical Representation of ...
... Imaginary Roots 744 CHAPTER III THE EQUATION OF THE FOURTH DEGREE Resolvent Cubic 746 CHAPTER IV THE ROOTS OF UNITY Solution of Equation " = 1 752 Cube and Biquadratic Roots of 1 - Quinary Roots of 1- Geometrical Representation of ...
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Términos y frases comunes
A₁ algebraic Arithmetic ax² b₁ binomial Binomial Theorem c₁ CHAPTER coefficients common convergent corresponding cube root decimal definition denominator determinant difference divided division divisor equal equivalent example exponent expression factors figures Find the number formula fraction given equation greater Hence imaginary increases inequality integer irrational less limit log 1+r logarithm mantissa mathematical induction monomial multiplied negative number nth root number of terms P₁ partial fractions polynomial positive integer positive number problem quadratic quadratic equation quotient rational remainder result rule satisfy second degree second member solution Solve the equations square root substituting subtraction Suppose surd symbols system of equations theorem third tion triangle trinomial unknown numbers unknown quantities Va² zero
Pasajes populares
Página 205 - Nos. 1 and 2, 3 and 4, 5 and 6, 7 and 8, 9 and 10, 11 and 12.
Página 666 - Q(x) to obtain a quotient (polynomial of the form -Q ) plus a rational function (remainder divided by the divisor) in which the degree of the numerator is less than the degree of the denominator.
Página 79 - Raise the absolute value of the numerical coefficient to the required power, and multiply the exponent of each letter by the exponent of the required power.
Página 71 - The part of the equation which is on the left of the sign of equality is called the first member ; the part on the right of the sign of equality, the second member.
Página 588 - What will $ 100 amount to in 7 years with interest at 8% per annum, compounded semi-annually ? 3. In how many years will a sum of money double itself at 6%, compounded annually ? 4.
Página 181 - A person has a hours at his disposal. How far may he ride in a coach which travels b miles an hour, so as to return home in time, walking back at the rate of с miles an hour ? 43.
Página 519 - In any proportion, the terms are in proportion by Alternation; that is, the first term is to the third as the second term is to the fourth.
Página 520 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.
Página 524 - The first of four magnitudes is said to have the same ratio to the second, that the third has to the fourth, when any equimultiples...
Página 588 - June, 1889.) 1. In how many years will a sum of money double itself at 4 per cent., interest being compounded semi-annually ? 2.