Elementary Algebra: Second Year CourseMacmillan, 1916 |
Dentro del libro
Resultados 1-5 de 34
Página 26
... formulas can be shown to be true : 1 ( amn ) n = am or Vamn = am . 1 1 1 aa • b1 = ( ab ) " or√a · V / b = – Vab . Va or b b Express each of these formulas in words . The square root of 2 cannot be exactly expressed by the Hindu ...
... formulas can be shown to be true : 1 ( amn ) n = am or Vamn = am . 1 1 1 aa • b1 = ( ab ) " or√a · V / b = – Vab . Va or b b Express each of these formulas in words . The square root of 2 cannot be exactly expressed by the Hindu ...
Página 31
... formula a2 + 2 ab + b2 = ( a + b ) 2 . When dividing by the trial divisor , exclude , for brevity , the right - hand digit in the remainder . The reason for this is seen in the example which follows : the trial divisor 4 is equal to 40 ...
... formula a2 + 2 ab + b2 = ( a + b ) 2 . When dividing by the trial divisor , exclude , for brevity , the right - hand digit in the remainder . The reason for this is seen in the example which follows : the trial divisor 4 is equal to 40 ...
Página 50
... formula obtained by the method of completing the square . I. With our present knowledge of factoring , the first method is applicable only when the roots of the quadratic equation are ra- tional . The method depends upon the principle ...
... formula obtained by the method of completing the square . I. With our present knowledge of factoring , the first method is applicable only when the roots of the quadratic equation are ra- tional . The method depends upon the principle ...
Página 51
... formula derived from the solution of the type form of the complete quadratic . Solve Transpose c , Divide by a , Add • 9 ) 23 a Take the square root , ax2 + bx + c = = 0 . ax2 + bx = - C. α b2 4 a2 - b x2 + h · x + α b x + - 2 a с a x ...
... formula derived from the solution of the type form of the complete quadratic . Solve Transpose c , Divide by a , Add • 9 ) 23 a Take the square root , ax2 + bx + c = = 0 . ax2 + bx = - C. α b2 4 a2 - b x2 + h · x + α b x + - 2 a с a x ...
Página 66
... formula is called the Binomial Theorem . By actual multiplication it was shown above to be true for all positive integral values of n , up to 6. We found the expansion of ( a + b ) on the tacit assumption that the formula holds for n ...
... formula is called the Binomial Theorem . By actual multiplication it was shown above to be true for all positive integral values of n , up to 6. We found the expansion of ( a + b ) on the tacit assumption that the formula holds for n ...
Términos y frases comunes
a²b² a²x² ab² addition and subtraction algebra arithmetical arithmetical means arithmetical series ax² binomial BINOMIAL THEOREM called coefficient commutative law complete divisor completing the square Compute cube root decimal places denominator determinants diameter digits distance Divide both sides dividend division Draw a graph exponent Factor Theorem Find the h. c. f. Find the square Find the sum fixed number formula fraction geometrical series given equation Hence imaginary numbers inches linear equations logarithms mantissa negative numbers nth root number of terms obtain parenthesis polynomial positive numbers principal root quadratic equation quotient radius rational integral expression remainder Simplify solution Solve square root Substitute trial divisor triangle Type form Univ variable weight zero
Pasajes populares
Página 6 - 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. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Página 85 - In any proportion, the product of the means is equal to the product of the extremes.
Página 39 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Página 113 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.
Página 65 - In each succeeding term the coefficient is found by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing by the number of the preceding term.
Página 5 - Multiply each term of the multiplicand by each term of the multiplier, and add the partial products.
Página 37 - Both terms of a fraction may be divided by the same number without changing the value of the fraction.
Página 89 - Find the area of a circle whose radius is 12 feet, from the law that the area of a circle varies as the square of its radius.
Página 65 - The exponent of b in the second term is 1, and increases by 1 in each succeeding term.
Página 196 - A person engaged to work a days on these conditions : for each day he worked he was to receive b cents, and for each day he was idle he was to forfeit с cents. At the end of a days he received d cents. How many days was he idle ? 76.