An Elementary Treatise on Algebra: To which are Added Exponential Equations and Logarithms |
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Results 6-10 of 41
Page 17
... subtracted , multi- plied , or divided by the rules already given , the signs being carefully attended to . 41. EXAMPLES . 1. Find the sum of 7 a - 3 + 9 am b - P - 6 ab - 2 c ' , -3a - 3 , 5 amb - r + 11 ab − 2 co , a — 3—14 am b − r ...
... subtracted , multi- plied , or divided by the rules already given , the signs being carefully attended to . 41. EXAMPLES . 1. Find the sum of 7 a - 3 + 9 am b - P - 6 ab - 2 c ' , -3a - 3 , 5 amb - r + 11 ab − 2 co , a — 3—14 am b − r ...
Page 18
... subtracted from the dividend , the remainder must be equal to the sum of the products of the divisor by the remaining terms of the quotient , and may be used as a new dividend to obtain another term of the quotient . By pursuing this ...
... subtracted from the dividend , the remainder must be equal to the sum of the products of the divisor by the remaining terms of the quotient , and may be used as a new dividend to obtain another term of the quotient . By pursuing this ...
Page 19
... subtracted from this dividend or remainder . 64x6-16 a3 x3 + a6 4x2 - 4 a x + a2 Divisor . 64x6-64 a x5-16 a2 x4 | 16x4 + 16 a x3 + 12 a2x2 + 4 a3 x + a1 = 64 a x5 — 16 a2 x4 — 16 a3 x3 + a6 = 1st Remainder . - - · 64 a x5 — 64 a2x2 + ...
... subtracted from this dividend or remainder . 64x6-16 a3 x3 + a6 4x2 - 4 a x + a2 Divisor . 64x6-64 a x5-16 a2 x4 | 16x4 + 16 a x3 + 12 a2x2 + 4 a3 x + a1 = 64 a x5 — 16 a2 x4 — 16 a3 x3 + a6 = 1st Remainder . - - · 64 a x5 — 64 a2x2 + ...
Page 38
... Subtract from b Ans . b d a + b 3. Find the sum of and Ans . a . α .b a + b 4. Subtract from Ans . b . 2 2 Sum and Difference of Fractions . a 5. Reduce to 38 [ CH . II . § II . ALGEBRA . Addition and Subtraction of Fractions.
... Subtract from b Ans . b d a + b 3. Find the sum of and Ans . a . α .b a + b 4. Subtract from Ans . b . 2 2 Sum and Difference of Fractions . a 5. Reduce to 38 [ CH . II . § II . ALGEBRA . Addition and Subtraction of Fractions.
Page 40
... subtraction , multi- plication , and division of fractions require no other demon- strations than those usually given in arithmetic . 78. When the quantities multiplied or divided contain fractional terms , it is generally advisable to ...
... subtraction , multi- plication , and division of fractions require no other demon- strations than those usually given in arithmetic . 78. When the quantities multiplied or divided contain fractional terms , it is generally advisable to ...
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Common terms and phrases
126 become zero 3d root arithmetical progression coefficient commensurable roots common difference contained continued fraction continued product Corollary deficient terms denote derivative Divide dividend division equal roots equal to zero equation x² factor Find the 3d Find the 4th Find the continued Find the greatest Find the number Find the square Find the sum Free the equation Geometrical Progression given equation given number gives greatest common divisor Hence imaginary roots last term least common multiple letter logarithm monomials multiplied number of real number of terms polynomial positive roots preceding article Problem quantities in example quotient radical quantities ratio real roots reduced remainder required equation required number row of signs Scholium Second Degree Solution Solve the equation square root Sturm's Theorem subtracted Theorem unity unknown quan unknown quantity variable whence