## An Elementary Treatise on Algebra: To which are Added Exponential Equations and Logarithms |

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**Free**the fraction a - 3b2 d - le from negative exponents . b2 d Ans . a3 e a5b - 3c - 2 2.**Free**the fraction a - 2 c2d from negative exponents . απ Ans . b3 c4 d ' a - 3 62 c -5 d - 1 e 3.**Free**the fraction ab - 3c 2d - 8f2 from ... Page 43

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**Free**the fraction 1 + x 2 - y - 2 from negative ex- ponents . Ans . x2 y2 + y2 + x2 x2 y2 + y2 — x2 ° 84. The preceding rules for fractions may all be applied to ratios by substituting the term antecedent for numerator , and consequent ... Page 60

... the factor common to the terms of the equation a * + 3 a * + 1 x — ax - 1 is suppressed , what is the resulting equation ? Ans . a3a2 x = 1 . To

... the factor common to the terms of the equation a * + 3 a * + 1 x — ax - 1 is suppressed , what is the resulting equation ? Ans . a3a2 x = 1 . To

**free**an Equation from Fractions . 112. Problem . 60 [ CH . III . § II . ALGEBRA . Page 61

To which are Added Exponential Equations and Logarithms Benjamin Peirce. To

To which are Added Exponential Equations and Logarithms Benjamin Peirce. To

**free**an Equation from Fractions . 112. Problem . To**free**an equation from frac- tions . Solution . Reduce , by arts . 67 and 68 , all the terms of the equation ... Page 62

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**Free**the equation 3a - 5x 2a - x + = a + f_dx a - c d ac from fractions . Ans . 3 ad - 5dx + 2a2 - ax - 2 ac + cx = ad + 3.**Free**the equation from fractions . df - ad2x + c d2 x . 8x x + 2 20 6 = 3 x Ans . 24 x2 - 18x2-36 x 20 x 40 . 4.### Other editions - View all

### 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