College AlgebraScott, Foresman, 1901 - 777 páginas |
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Página vi
... equivalent equa- tions or equivalent systems of equations ; that the same is true in solving inequalities or systems of inequalities . The great central problem of Algebra is the solution of the equation , and with the irrational and ...
... equivalent equa- tions or equivalent systems of equations ; that the same is true in solving inequalities or systems of inequalities . The great central problem of Algebra is the solution of the equation , and with the irrational and ...
Página xi
... Equivalent Equations 145 146 147 Removal of Denominator Theorem on Transformation of Equations The Solution of an Equation of the First Degree 147 · 151 154 Formulae for the Solution of an Equation of the First Degree in One Unknown ...
... Equivalent Equations 145 146 147 Removal of Denominator Theorem on Transformation of Equations The Solution of an Equation of the First Degree 147 · 151 154 Formulae for the Solution of an Equation of the First Degree in One Unknown ...
Página xii
... Equivalent Systems of Equations . The Solution of two Equations of the First Degree — Elimination by Addition and Subtraction Elimination by Substitution · Elimination by Comparison Elimination by Undetermined Multiplier CHAPTER VII ...
... Equivalent Systems of Equations . The Solution of two Equations of the First Degree — Elimination by Addition and Subtraction Elimination by Substitution · Elimination by Comparison Elimination by Undetermined Multiplier CHAPTER VII ...
Página 36
... equivalent to adding an equal negative number ; and that to subtract a negative number is equivalent to adding an equal positive number . 33. To subtract one algebraic number from another , change the sign of the subtrahend and add the ...
... equivalent to adding an equal negative number ; and that to subtract a negative number is equivalent to adding an equal positive number . 33. To subtract one algebraic number from another , change the sign of the subtrahend and add the ...
Página 50
... term underneath is in reality prefixed to the vinculum . Thus , a - band - a - bare respectively equivalent to + ( a - b ) and — ( a - b ) , 53. Parentheses may enclose others ; in this case they 50 [ 850-52 COLLEGE ALGEBRA.
... term underneath is in reality prefixed to the vinculum . Thus , a - band - a - bare respectively equivalent to + ( a - b ) and — ( a - b ) , 53. Parentheses may enclose others ; in this case they 50 [ 850-52 COLLEGE ALGEBRA.
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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.