Advanced AlgebraMacmillan, 1905 - 562 páginas |
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Términos y frases comunes
a²b a²b² a³b ab² ab³ abscissas algebraic arithmetic arithmetic means arithmetic series arranged ax² b₁ binomial c₁ coefficients column complex numbers contains cube roots cubic cubic equation cubic parabola denominator determinant diagram digits Dividing division divisor equal EXERCISE exponents expression factor feet Find the H. C. F. Find the number Find the sum Find the value following equations formula fraction function graph graphically imaginary numbers integral letters logarithm method monomial multiplied number of permutations obtain points polynomial positive quadratic equation quotient r₁ rational real numbers remainder Similarly Simplify solution Solve the equation square root Substituting subtract surd synthetic division temperature total number Transposing unknown quantities x²y x²y² xy² zero
Pasajes populares
Página 142 - If the product of two numbers is equal to the product of two other numbers, either pair may be made the means, and the other pair the extremes, of a proportion.
Página 29 - Thus the product of the sum and difference of two numbers is equal to the difference of their squares.
Página 107 - If the degree of the numerator is equal to, or greater than, that of the denominator, the preceding methods are inapplicable.
Página 389 - The sum of the products of the roots taken two at a time is equal to the coefficient of the third term.
Página 29 - ... the square of the second. In the second case, (ab)2 = a?-2ab + bi. (2) That is, the square of the difference of two numbers is equal to the square of the first, minus twice the product of the first by the second, plus the square of the second.
Página 76 - A trinomial belongs to this type, ie it is a perfect square, when two of its terms are perfect squares, and the remaining term is equal to twice the product of the square roots of these terms.
Página 450 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.
Página 177 - Find the number. 13. If a certain number is divided by the sum of its three digits, the quotient is 43. The sum of the first two digits is equal to the third digit, and if 99 be added to the number, the first and last digits will be interchanged. Find the number. 14. If a certain number is divided by the sum of its two digits, the quotient is 4 and the remainder 3. Three times the first digit exceeds the second digit by 3. Find the number. 15.
Página 94 - To reduce fractions to their lowest terms. A fraction is in its lowest terms when its numerator and denominator are prime to each other; that is, when both terms have no common divisor.
Página 29 - That is, the square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.