Advanced AlgebraMacmillan, 1906 - 562 páginas |
Dentro del libro
Resultados 1-5 de 38
Página 7
... denominator , we may write numerator Vdenominator numerator Vdenominator By representing the numerator by a letter , e.g. a , and the de- nominator by b , we may write more briefly b = Va In this equation a and b denote any numbers ...
... denominator , we may write numerator Vdenominator numerator Vdenominator By representing the numerator by a letter , e.g. a , and the de- nominator by b , we may write more briefly b = Va In this equation a and b denote any numbers ...
Página 96
... denominator . a2 to b . + ab + b2 is integral with respect to a , but fractional with respect 105. An expression is integral and rational , if it is integral and rational with respect to all letters contained in it ; as , a2 + 2ab + 4 ...
... denominator . a2 to b . + ab + b2 is integral with respect to a , but fractional with respect 105. An expression is integral and rational , if it is integral and rational with respect to all letters contained in it ; as , a2 + 2ab + 4 ...
Página 122
... denominator . The numerator and the denominator are the terms of the fraction . 139. Since a fraction represents an indicated division , the proofs of all fundamental properties may be based upon the definition of division ; viz .: α ...
... denominator . The numerator and the denominator are the terms of the fraction . 139. Since a fraction represents an indicated division , the proofs of all fundamental properties may be based upon the definition of division ; viz .: α ...
Página 123
... denominator into their factors , and cancel all factors that are common to both . Never cancel terms of the numerator or the denominator ; cancel factors only . " Ex . 2. Reduce a3 - 6 a2 + 8 a to its lowest terms . 6 a1 24 a2 Ex . 3 ...
... denominator into their factors , and cancel all factors that are common to both . Never cancel terms of the numerator or the denominator ; cancel factors only . " Ex . 2. Reduce a3 - 6 a2 + 8 a to its lowest terms . 6 a1 24 a2 Ex . 3 ...
Página 125
... denominator by it . Ex . 1. Reduce 3 a3 - 13 a2 + 23 a - 21 to its lowest terms . 9 a2 36 a +35 9 a2 - 36 a +35 = - ( 3 a 5 ) ( 3 a - 7 ) . · ( Art . 131. ) But 3 a 5 cannot be a factor of the numerator . - Hence only 3 a 7 need to be ...
... denominator by it . Ex . 1. Reduce 3 a3 - 13 a2 + 23 a - 21 to its lowest terms . 9 a2 36 a +35 9 a2 - 36 a +35 = - ( 3 a 5 ) ( 3 a - 7 ) . · ( Art . 131. ) But 3 a 5 cannot be a factor of the numerator . - Hence only 3 a 7 need to be ...
Contenido
1 | |
18 | |
35 | |
53 | |
64 | |
96 | |
104 | |
112 | |
122 | |
147 | |
171 | |
194 | |
201 | |
209 | |
218 | |
230 | |
232 | |
243 | |
250 | |
257 | |
364 | |
370 | |
386 | |
387 | |
401 | |
431 | |
463 | |
501 | |
509 | |
516 | |
538 | |
Otras ediciones - Ver todas
Términos y frases comunes
a+b)² a²b a²b² a³b ab² ab³ algebraic angle arithmetic arithmetic means ax² b₁ binomial coefficients complex numbers consecutive numbers contains cube denominator determinant difference digits Dividing division divisor exceeds EXERCISE exponents factors feet Find the H. C. F. Find the number Find the sum Find the value following equations following expressions function graph graphically Hence inches integral letters logarithm method miles per hour monomial multiplied negative number of dollars obtain polynomial positive quadratic equation quotient ratio real numbers reduced remainder represented Simplify simultaneous equations Solve the equation Solve the following square root Substituting subtract surd symbols third Transposing triangle unknown number unknown quantities Va² x²y x²y² x²y³ xy² yards zero
Pasajes populares
Página 168 - In any proportion the product of the means is equal to the product of the extremes.
Página 162 - The sum of the three angles of any triangle is equal to 180°.
Página 45 - The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first and the second, plus the square of the second.
Página 374 - To release the paper, turn the handle /in a direction opposite to the motion of the hands of a watch.
Página 168 - 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 386 - How many 6-digit numbers can be formed from the digits 1, 2, 3, 4, 5, 6, 7, 8, 9 if each number has 3 odd and 3 even digits and no two digits are alike?
Página 133 - A fraction may be reduced by division to an integral or mixed expression, if the degree of the numerator is equal to, or greater than, that of the denominator.
Página 102 - 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. The student should note that a term, in order to be a perfect square, must have a positive sign.
Página 515 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Página 383 - ... are placed. Thus the combinations of the letters a, b, c, taken two at a time are ab, ас...