College AlgebraScott, Foresman, 1901 - 777 σελίδες |
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Σελίδα xx
... nth Degree― A Root . Definition of Cubic Equation - Cube Roots of Unity The Equation a - a - Symmetrical Cubic Equation - Cubic Equation with One Rational Root Cardan's Solution • Trigonometric Solution 736 737 738 739 742 Trigonometric ...
... nth Degree― A Root . Definition of Cubic Equation - Cube Roots of Unity The Equation a - a - Symmetrical Cubic Equation - Cubic Equation with One Rational Root Cardan's Solution • Trigonometric Solution 736 737 738 739 742 Trigonometric ...
Σελίδα 284
James Harrington Boyd. Thus , 2 the square root of 9 is written 1/9 or 1 / 9 = the fourth root of 16 is written * 1 16 = 2 ; 3 ; and the nth root of a is written " Va . Here the indices of the roots are respectively 2 , 4 , and n . 274 ...
James Harrington Boyd. Thus , 2 the square root of 9 is written 1/9 or 1 / 9 = the fourth root of 16 is written * 1 16 = 2 ; 3 ; and the nth root of a is written " Va . Here the indices of the roots are respectively 2 , 4 , and n . 274 ...
Σελίδα 285
... root of the same sign as the number itself . Thus , 3 since ( 2 ) 38 , ... V - 8 = -2 ; 3 . since 33 27 , ... 3 ... nth power of a number has at least one nth root and , when n is even , at least two ; also that any nega- tive number ...
... root of the same sign as the number itself . Thus , 3 since ( 2 ) 38 , ... V - 8 = -2 ; 3 . since 33 27 , ... 3 ... nth power of a number has at least one nth root and , when n is even , at least two ; also that any nega- tive number ...
Σελίδα 286
... roots , four fourth roots , and five fifth roots ; and in general it may be proved that any number has n , nth roots . 278. Principal Root . - 1 . The principal root of a positive num- ber is its one positive root . Thus , 3 is the ...
... roots , four fourth roots , and five fifth roots ; and in general it may be proved that any number has n , nth roots . 278. Principal Root . - 1 . The principal root of a positive num- ber is its one positive root . Thus , 3 is the ...
Σελίδα 287
James Harrington Boyd. Using the definition of a root , express c as the root of the second member in each of the ... nth root of the product of several positive factors is equal to the product of the nth roots of each factor . Thus ...
James Harrington Boyd. Using the definition of a root , express c as the root of the second member in each of the ... nth root of the product of several positive factors is equal to the product of the nth roots of each factor . Thus ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 205 - Nos. 1 and 2, 3 and 4, 5 and 6, 7 and 8, 9 and 10, 11 and 12.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.