The Academic AlgebraThompson, Brown, 1889 - 414 páginas |
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Página 14
... Find two numbers whose sum is 28 , and whose differ- .ence is 6 . 13. Find a number such that , if we double it and then add 20 to it , the result will be 140 . Ans . 60 . 14. Two persons agreed to give $ 60 to a charity , one giving ...
... Find two numbers whose sum is 28 , and whose differ- .ence is 6 . 13. Find a number such that , if we double it and then add 20 to it , the result will be 140 . Ans . 60 . 14. Two persons agreed to give $ 60 to a charity , one giving ...
Página 25
... Find the sum of 9 ( x + y ) , 10 ( x + y ) , − 2 ( x + y ) , and ( x + y ) . Ans . 18 ( x + y ) . - 10. Find the sum of a x2 , + a x2 , +11 a x2 , +26 a x2 , and - 14 a x2 . - 11. Find the sum of 28 a b c , — 34 a b c , — 150 a b c ...
... Find the sum of 9 ( x + y ) , 10 ( x + y ) , − 2 ( x + y ) , and ( x + y ) . Ans . 18 ( x + y ) . - 10. Find the sum of a x2 , + a x2 , +11 a x2 , +26 a x2 , and - 14 a x2 . - 11. Find the sum of 28 a b c , — 34 a b c , — 150 a b c ...
Página 27
William Frothingham Bradbury, Grenville C. Emery. 2. Find the sum of 2 a , 3b , + c , + b , 2c , + 3d , -a , + 3c , and 2 d . - - - b , 3. Find the sum of 4 x , 7 a , + 3y , -46 , +32 , +6 a , −y , + 4b , −2z , −2y , + 4a , + 8b ...
William Frothingham Bradbury, Grenville C. Emery. 2. Find the sum of 2 a , 3b , + c , + b , 2c , + 3d , -a , + 3c , and 2 d . - - - b , 3. Find the sum of 4 x , 7 a , + 3y , -46 , +32 , +6 a , −y , + 4b , −2z , −2y , + 4a , + 8b ...
Página 66
... Find the square of 3 a x + 2 by . Ans . 9 a2x2 + 12 abxy + 4 b2 y2 . — 2. Find the square of 5 abc 7 abx . 3. Expand ( 5 a b c — c ) 2 . 2 4. Multiply 2 a2-3 b by 2 a2 + 3 b . 5. Multiply 3x + 7 a2b by 3 x - 7 a2 b . 6. Expand ( 55 - 4 ...
... Find the square of 3 a x + 2 by . Ans . 9 a2x2 + 12 abxy + 4 b2 y2 . — 2. Find the square of 5 abc 7 abx . 3. Expand ( 5 a b c — c ) 2 . 2 4. Multiply 2 a2-3 b by 2 a2 + 3 b . 5. Multiply 3x + 7 a2b by 3 x - 7 a2 b . 6. Expand ( 55 - 4 ...
Página 68
... Find the factors of : x2 2. 6 xy - 36 x y2-24 a x2 y3 . Ans . 2 , 3 , x , y , and 1 — 6 y — 4 a x y2 . - - 3. 3 a 6 ... Find the factors of x2 + 2 x y + y2 . x2 + 2 x y + y2 = ( x + y ) ( x + y ) We resolve this into its factors at once ...
... Find the factors of : x2 2. 6 xy - 36 x y2-24 a x2 y3 . Ans . 2 , 3 , x , y , and 1 — 6 y — 4 a x y2 . - - 3. 3 a 6 ... Find the factors of x2 + 2 x y + y2 . x2 + 2 x y + y2 = ( x + y ) ( x + y ) We resolve this into its factors at once ...
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Términos y frases comunes
9 a² a b c a² b² a² b³ a²b² a²x² algebraic expressions arithmetical progression b² c² binomial Binomial Theorem bracket cents coefficient cube root denominator digits divided dividend equal examples exponent figures Find the factors Find the greatest Find the number Find the square Find the sum Find the value following Rule geometrical progression given greatest common divisor Hence integral last term least common multiple less logarithm miles an hour mixed number monomial Multiply negative number number of hours number of terms polynomial positive number quadratic equation quotient radical ratio remainder second term simplest form Simplify square root subtracted Theorem Transposing trial divisor unknown number x y z x² y² x²y x³ y² yards
Pasajes populares
Página 53 - 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 317 - 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 317 - In a proportion the antecedents and consequents of the two ratios are respectively the antecedents and consequents of the proportion. The first and fourth terms are called the extremes, and the second and third the means.
Página 152 - The first term of a ratio is called the antecedent, and the other the consequent ; and the two terms together are called a couplet.
Página 228 - Multiply the true divisor by this neiv root figure, subtract the product from the dividend, and to the remainder annex the next period, for a new dividend.
Página 330 - Any three of the five following things being given, the other two may be found : 1. The first term. 2. The last term. 3. The number of terms. 4. The common difference. 5. The sum of all the terms.
Página 61 - The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.
Página 152 - Three quantities are said to be proportional when the ratio of the first to the second is equal to the ratio of the second to the third.
Página 227 - Subtract the square of this figure from the left-hand period, and to the remainder annex the next period for a dividend.
Página 250 - Resolve the quantity under the radical sign into two factors, one of which is the greatest perfect power of the same degree as the radical.