Algebra for Colleges and SchoolsMacmillan, 1897 - 516 páginas |
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Página 24
... divide into 7 equal parts and take 3 of them . Now each part will be equal to 4 5 x 7 and the result of taking 3 of such parts is expressed by 4 x 3 5 x 7 3 4 x 3 Hence X 7 = 5 x 7 Also , by the last article , 4 x 3 24.
... divide into 7 equal parts and take 3 of them . Now each part will be equal to 4 5 x 7 and the result of taking 3 of such parts is expressed by 4 x 3 5 x 7 3 4 x 3 Hence X 7 = 5 x 7 Also , by the last article , 4 x 3 24.
Página 39
... Divide 45 a6b2x4 by - 9 a3bx2 . The quotient = ( − 5 ) × a6-3b2 -1x4-2 == 5 a3bx2 . Ex . 5. 21 a2b3 ÷ ( — 7 a2b2 ) = 3 b . NOTE . - If we apply the rule to divide any power of a letter by the same power of the letter , we are led to a ...
... Divide 45 a6b2x4 by - 9 a3bx2 . The quotient = ( − 5 ) × a6-3b2 -1x4-2 == 5 a3bx2 . Ex . 5. 21 a2b3 ÷ ( — 7 a2b2 ) = 3 b . NOTE . - If we apply the rule to divide any power of a letter by the same power of the letter , we are led to a ...
Página 40
... divide a compound expression by a single factor , divide each term separately by that factor , and take the algebraic sum of the partial quotients so obtained . This follows at once from Art . 40 . Ex . 1. ( 9x 12y + 3z ) ÷ - - 3 ...
... divide a compound expression by a single factor , divide each term separately by that factor , and take the algebraic sum of the partial quotients so obtained . This follows at once from Art . 40 . Ex . 1. ( 9x 12y + 3z ) ÷ - - 3 ...
Página 41
... Divide x2 + 11x + 30 by x + 6 . Arrange the work thus : x + 6 ) x2 + 11 x + 30 ( divide x2 , the first term of the dividend , by x , the first term of the divisor ; the quotient is x . Multiply the whole divisor by x , and put the ...
... Divide x2 + 11x + 30 by x + 6 . Arrange the work thus : x + 6 ) x2 + 11 x + 30 ( divide x2 , the first term of the dividend , by x , the first term of the divisor ; the quotient is x . Multiply the whole divisor by x , and put the ...
Página 42
... 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 . - 4x3 + х 2x2 - 6 x - − 10 x2 + - 5 - 15 − 10 x2 + ...
... 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 . - 4x3 + х 2x2 - 6 x - − 10 x2 + - 5 - 15 − 10 x2 + ...
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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...