Advanced AlgebraGinn, 1905 - 285 páginas This book is designed for use in secondary schools and in short college courses. It aims to present in concise but clear form the portions of algebra that are required for entrance to the most exacting colleges and technical schools. The chapters in 'Algebra to Quadratics' are intended for a review of the subject. The rest of the text concentrates on subjects that are most vital, which is why topics that demand a knowledge of calculus for complete comprehension have been omitted. |
Dentro del libro
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Página 46
... digits differ by 36. If we add to the lesser the sum of its tens digit and 4 times its units digit , we obtain 100. What are the numbers ? 17. In a company of 14 persons , men and women , the men spend $ 24 and the women spend an equal ...
... digits differ by 36. If we add to the lesser the sum of its tens digit and 4 times its units digit , we obtain 100. What are the numbers ? 17. In a company of 14 persons , men and women , the men spend $ 24 and the women spend an equal ...
Página 54
... digit of the root , subtract the result from the dividend , and annex to the remainder the next period for a new dividend . Double the whole root now found for a new divisor and pro- ceed as before until the desired number of digits in ...
... digit of the root , subtract the result from the dividend , and annex to the remainder the next period for a new dividend . Double the whole root now found for a new divisor and pro- ceed as before until the desired number of digits in ...
Página 55
... digit of the result be replaced by the next higher one , the square of this number is greater than the original number . There are always two values of the square root of any number . Thus √ ‡ = + 2 or — 2 , since ( + 2 ) 2 = ( − 2 ) ...
... digit of the result be replaced by the next higher one , the square of this number is greater than the original number . There are always two values of the square root of any number . Thus √ ‡ = + 2 or — 2 , since ( + 2 ) 2 = ( − 2 ) ...
Página 80
... digits in a number . Imaginary or complex ( p . 72 ) results in general mean that the conditions of the problem cannot be realized . PROBLEMS 1. The product of and of a certain number is 500. What is the number ? 2. There are two ...
... digits in a number . Imaginary or complex ( p . 72 ) results in general mean that the conditions of the problem cannot be realized . PROBLEMS 1. The product of and of a certain number is 500. What is the number ? 2. There are two ...
Página 81
... digits whose sum is 10 . of the digits and multiply the resulting number by the the result is 2944. What is the number ? Reverse the order original one , and 19. The sum of two numbers is 200. The square root of one increased by the ...
... digits whose sum is 10 . of the digits and multiply the resulting number by the the result is 2944. What is the number ? Reverse the order original one , and 19. The sum of two numbers is 200. The square root of one increased by the ...
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Términos y frases comunes
a₁ a²b ab² algebraic arithmetical means assume axis b₁ binomial called coefficients column complex numbers constant term continued fraction coördinates COROLLARY corresponding curve decimal determinant digits Divide division divisor equa equal equation ax² exponents expression Extract the square factor Find the 7th following equations following RULE geometrical means graph Hence identity integers irrational numbers least common multiple left-hand member letters linear equation logarithm monomial Multiply negative number nth term obtain operations pair of values pairs of equations perfect square permutations Plot polynomial positive integer quadratic equation quotient radical ratic rational number real number remainder represent result rule of signs satisfy the equation Solution square root Substituting subtract symbols synthetic division THEOREM tion Transpose vanish variable x₁ zero
Pasajes populares
Página 237 - The characteristic of the logarithm of a number greater than 1 is a positive integer or zero, and is one less than the number of digits to the left of the decimal point.
Página 53 - Find the square root of the first term, write it as the first term of the root, and subtract its square from the given polynomial. Divide the first term of the remainder by...
Página 87 - Pythagorean theorem, which states that the square of the hypotenuse of a right triangle equals the sum of the squares of the other two sides.
Página 54 - Separate the given number into periods of two figures each, beginning from the units' place. 2d. find the greatest number whose square is contained in the left-hand period ; this is the first figure of the required root. >Subtract its square from the first period, and to the remainder bring down the second period for a dividend.
Página 13 - Multiply the divisor by the first term of the quotient and subtract the product from the dividend.
Página 157 - The number of permutations of n things taken r at a time is n!
Página 12 - The square of any polynomial equals the sum of the squares of the terms plus twice the product of each term by each term which follows it.
Página 53 - Divide the first term of the remainder by twice the first term of the root, and add the quotient to the part of the root already found, and also to the trial-divisor.
Página 53 - We next multiply the complete divisor by the last term of the root and subtract the product from the last remainder.
Página 27 - The numerator and denominator of a fraction may be multiplied or divided by the same number without changing the value of the fraction.