College AlgebraScott, Foresman, 1901 - 777 σελίδες |
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Σελίδα x
... Condition - The Unknown Quantity Axioms . Transposition CHAPTER VII BINOMIALS APPLICATION OF ADDITION AND MULTIPLICATION - POWERS OF MONOMIALS- Definitions : Rational Integral Polynomials , etc. Power Formulae - The Double Sign Binomial ...
... Condition - The Unknown Quantity Axioms . Transposition CHAPTER VII BINOMIALS APPLICATION OF ADDITION AND MULTIPLICATION - POWERS OF MONOMIALS- Definitions : Rational Integral Polynomials , etc. Power Formulae - The Double Sign Binomial ...
Σελίδα xv
... 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 + px + q 404 405 Factors of a + bx + c and ax2 + 2 bxy + cy2 + 2 dx + 2 ...
... 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 + px + q 404 405 Factors of a + bx + c and ax2 + 2 bxy + cy2 + 2 dx + 2 ...
Σελίδα 70
... condition for the vanishing of a product is the vanishing of one of its factors ( 39 , 3 ; 41 , 7 ; 63 , 1 ) . It follows from the determinateness of division that this is also a necessary condition . If a product vanishes , one of its ...
... condition for the vanishing of a product is the vanishing of one of its factors ( 39 , 3 ; 41 , 7 ; 63 , 1 ) . It follows from the determinateness of division that this is also a necessary condition . If a product vanishes , one of its ...
Σελίδα 71
... Condition is one which is true , not for all values of the letters , but only for a certain definite number of values of the letters ; thus , can not be true unless x = = 6 . x + 3 = 9 On account of its frequent use , an equation of ...
... Condition is one which is true , not for all values of the letters , but only for a certain definite number of values of the letters ; thus , can not be true unless x = = 6 . x + 3 = 9 On account of its frequent use , an equation of ...
Σελίδα 145
... condition , 179 , or sim- ply an equation . The letters to which it is necessary to assign the particular values in order to render both members of the equality equal are called the unknown quantities . 1. Consider , for example , the ...
... condition , 179 , or sim- ply an equation . The letters to which it is necessary to assign the particular values in order to render both members of the equality equal are called the unknown quantities . 1. Consider , for example , the ...
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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.