Algebra for Colleges and SchoolsMacmillan, 1897 - 516 páginas |
Dentro del libro
Resultados 1-5 de 40
Página 38
... divisor . Division is thus the inverse of multiplication , and ( a + b ) x b = a . 54. The Rule of Signs holds for division . Thus ab ÷ a = - ab ÷ a = ab + ( - a ) = — ab ÷ ( − a ) = - ab αχό a - a ab = ab a = a = b . ax ( -b ) a ...
... divisor . Division is thus the inverse of multiplication , and ( a + b ) x b = a . 54. The Rule of Signs holds for division . Thus ab ÷ a = - ab ÷ a = ab + ( - a ) = — ab ÷ ( − a ) = - ab αχό a - a ab = ab a = a = b . ax ( -b ) a ...
Página 39
... divisor and dividend the factors common to both , as in Arithmetic . 9 ааа 27 a5 ÷ 9 a3 = 3 a2 . Ex . 3. Divide 35 ... divisor . This is called the Index Law for Division . We can now state the complete rule : Rule . The index of each ...
... divisor and dividend the factors common to both , as in Arithmetic . 9 ааа 27 a5 ÷ 9 a3 = 3 a2 . Ex . 3. Divide 35 ... divisor . This is called the Index Law for Division . We can now state the complete rule : Rule . The index of each ...
Página 40
... divisor and dividend according to ascend- ing or descending powers of some common letter . 2. Divide the term on the left of the dividend by the term on the left of the divisor , and put the result in the quotient . 3. Multiply the ...
... divisor and dividend according to ascend- ing or descending powers of some common letter . 2. Divide the term on the left of the dividend by the term on the left of the divisor , and put the result in the quotient . 3. Multiply the ...
Página 41
... divisor ; the quotient is x . Multiply the whole divisor by x , and put the product x2 + 6x under the dividend . We then have by subtraction x + 6 ) x2 + 11x + 30 ( x x2 + 6 x 5 +30 On repeating the process above explained we find that ...
... divisor ; the quotient is x . Multiply the whole divisor by x , and put the product x2 + 6x under the dividend . We then have by subtraction x + 6 ) x2 + 11x + 30 ( x x2 + 6 x 5 +30 On repeating the process above explained we find that ...
Página 42
... divisor consists of more than two terms . Ex . 1. Divide 6x5 - x2 + 4x3- 5x2 - x - 15 by 2x2 −x + 3 . 2x2 - x + 3 ) 6 x5 · - 6x5 - - x2 + 4x3 — 5 x2 − x − 15 ( 3 x3 + x2 − 2 x − 5 3x4 + 9x8 2x45x3 5x2 x3 + 3x2 2x4- - 4x3 8x2 ...
... divisor consists of more than two terms . Ex . 1. Divide 6x5 - x2 + 4x3- 5x2 - x - 15 by 2x2 −x + 3 . 2x2 - x + 3 ) 6 x5 · - 6x5 - - x2 + 4x3 — 5 x2 − x − 15 ( 3 x3 + x2 − 2 x − 5 3x4 + 9x8 2x45x3 5x2 x3 + 3x2 2x4- - 4x3 8x2 ...
Contenido
92 | |
102 | |
126 | |
136 | |
147 | |
165 | |
176 | |
191 | |
203 | |
209 | |
216 | |
222 | |
225 | |
235 | |
236 | |
279 | |
365 | |
377 | |
386 | |
394 | |
420 | |
426 | |
435 | |
444 | |
450 | |
458 | |
469 | |
476 | |
483 | |
491 | |
514 | |
Otras ediciones - Ver todas
Términos y frases comunes
a²b a²b² a²x a²x² a³b ab² ab³ algebraic arithmetic means arithmetical ascending powers ax² ax³ b₁ binomial Binomial Theorem bx² cents CHAPTER coefficient column compound expressions continued fraction convergent cube denote digits dimes Divide dividend divisible divisor equal equation EXAMPLES Find the highest find the number Find the square Find the sum find the value fraction harmonic means Hence highest common factor integer letters logarithm lowest common multiple miles an hour Multiply negative number of terms numerator and denominator obtain positive quadratic quadratic equation quotient ratio remainder Resolve into factors result rule of signs Simplify Solve square root Subtract surd symbols unknown quantity whence whole number x²y x²y² x³y xy² xy³ yards zero
Pasajes populares
Página 167 - It is evident from the Rule of Signs that (1) no even power of any quantity can be negative; (2) any odd power of a quantity will have the same sign as the quantity itself. NOTE. It is especially worthy of notice that the square of every expression, whether positive or negative, is positive.
Página 264 - That is, if a quadratic equation be reduced to the form x?+px = q, the algebraic sum of the roots is equal to the coefficient of x with its sign changed, and the product of the roots is equal to the second member, with its sign changed.
Página 351 - The logarithm of a product is the sum of the logarithms of its factors.
Página 352 - The Integral Part of a logarithm is called the Characteristic, and the decimal part the Mantissa.
Página 183 - The sixth root of an expression is found by taking the cube root of the square root, or the square root of the cube root.
Página 102 - ... remainder. The lowest common multiple of two or more algebraic expressions is the expression of lowest degree which will contain them all without a remainder.
Página 289 - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth.
Página 328 - A telegraph has 5 arms, and each arm has 4 distinct positions, including the position of rest: find the total number of signals that can be made.
Página 322 - From 7 Englishmen and 4 Americans a committee of 6 Is to be formed: in how many ways can this be done, (1) when the committee contains exactly 2 Americans, (2) at least 2 Americans...
Página 290 - Hence if any three terms of a proportion are given, the fourth may be found. Thus if a...