A First Course in AlgebraD.C. Heath & Company, 1908 - 232 σελίδες |
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Συχνά εμφανιζόμενοι όροι και φράσεις
a²+2 a²+b² a²b ab+b² ab² ab³ added algebraic angle ax² ax²+bx+c=0 B's age binomial change the sign Clearing of fractions common factor Compare Ex cube root degree digit Divide dividend division divisor equal numbers example EXERCISE Expand exponent Find the number Find the square Find the value following rule given equation graph Highest Common Factor Imaginary Numbers last term letter miles an hour monomial multiplicand Multiplying each term negative number number of dollars numerator and denominator parentheses perfect square polynomial positive integer problem proportion quadratic equation quadratic surd quotient radical sign rational and integral Reduce remainder Rule of Signs second term simultaneous equations solution Solve the equation Solve the following square root Substituting subtract surd Transposing triangle trinomial twice unknown numbers Whence x²+4 x²y
Δημοφιλή αποσπάσματα
Σελίδα 65 - A trinomial is a perfect square if the first and last terms are perfect squares and positive, and the middle term is twice the product of the square roots of the first and last terms (§ 61, p.
Σελίδα 45 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient.
Σελίδα 118 - In any proportion the terms are in proportion by Composition ; that is, the sum of the first two terms is to the first term as the sum of the last two terms is to the third term.
Σελίδα 64 - ... the square of the second. _ Again, (a — by = (a — 5) (a — 5) = a2 — 2a6 + 52. (2) That is, The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first by the second, plus the square of the second.
Σελίδα 119 - 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 27 - RULE To subtract one number from another, change the sign of the./ subtrahend and add algebraically.
Σελίδα 118 - In any proportion the terms are in proportion by composition and division ; that is, the sum of the first two terms is to their difference as the sum of the last two terms to their difference.
Σελίδα 92 - To Reduce a Fraction to its Lowest Terms. A fraction is said to be in its lowest terms when its numerator and denominator are prime to each other (§ 111).
Σελίδα 151 - Arts. 200 and 201 we derive the following rule : Extract the required root of the numerical coefficient, and divide the exponent of each letter by the index of the root.
Σελίδα 18 - To add a positive and a negative number, subtract the less absolute value (§ 13) from the greater, and prefix to the result the sign of the number having the greater absolute value. To add two negative numbers, add their absolute values, and prefix a negative sign to the result.