College AlgebraScott, Foresman, 1901 - 777 páginas |
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Página 45
... according to definition , only when ab is a number as defined ( 236 , VI , and ( 42 ) . However , an equation can be defined in a broader sense . An equation is any declaration of the equivalence of a definite com- bination of symbols ...
... according to definition , only when ab is a number as defined ( 236 , VI , and ( 42 ) . However , an equation can be defined in a broader sense . An equation is any declaration of the equivalence of a definite com- bination of symbols ...
Página 53
... according as the number of negative factors is even or odd . - EXAMPLE . Find the product of — 3a23 , 5 b2c3 , and —9 cd2 . Since there are two negative factors , the product is positive . Whence ( -3a2b3 ) ( 5b ) ( -9 cd ) = 135a2bc'd2 ...
... according as the number of negative factors is even or odd . - EXAMPLE . Find the product of — 3a23 , 5 b2c3 , and —9 cd2 . Since there are two negative factors , the product is positive . Whence ( -3a2b3 ) ( 5b ) ( -9 cd ) = 135a2bc'd2 ...
Página 54
... . Multiply 2a - 36 by 3a - 7b . According to the rule , multiply 2a - 3b by 3a and then by --7b and add the partial products . In practice the work is usually simplified by arranging similar 54 [ 2257 , 58 COLLEGE ALGEBRA.
... . Multiply 2a - 36 by 3a - 7b . According to the rule , multiply 2a - 3b by 3a and then by --7b and add the partial products . In practice the work is usually simplified by arranging similar 54 [ 2257 , 58 COLLEGE ALGEBRA.
Página 60
... According to the index law , the quotient of am by am is am - m , What numerical value has ao ? and am am According to rule , 264 , αν a α a a = ao - 1 · 1 1 • 1 = 1 . [ Law X , 61 ] a a a a a a a = ao . to m factors = 1 1 • to m a a a ...
... According to the index law , the quotient of am by am is am - m , What numerical value has ao ? and am am According to rule , 264 , αν a α a a = ao - 1 · 1 1 • 1 = 1 . [ Law X , 61 ] a a a a a a a = ao . to m factors = 1 1 • to m a a a ...
Página 62
... according to the powers of some common letter , either both according to ascending or both according to descending powers . Divide the first term of the dividend by the first term of the divisor , and write the result as the first term ...
... according to the powers of some common letter , either both according to ascending or both according to descending powers . Divide the first term of the dividend by the first term of the divisor , and write the result as the first term ...
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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.