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

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**unknown quantity**. 65 IV . Equations of the First Degree containing two or more**unknown quantities**. 85 CHAPTER IV . NUMERICAL EQUATIONS . SECTION I. Indeterminate Coefficients . II . Derivation . III . Numerical Equations . 8114 CAP ... Page 65

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**unknown quantity**. 120. Theorem . Every equation of the first de gree , with one**unknown quantity**, can be reduced to the form Ax + B = 0 ; in which A and B denote any known quantities , whether positive or negative , and x is the unknown ... Page 66

... quantity is equal to the quotient arising from the division of the second member by the multiplier of the

... quantity is equal to the quotient arising from the division of the second member by the multiplier of the

**unknown quantity**in the first member . 122. Corollary . When A and B are both positive or both negative , the value of x is ... Page 67

... quantity whatever , and is called an indeterminate expression . The given equation is , indeed , in this case 0x x + ...

... quantity whatever , and is called an indeterminate expression . The given equation is , indeed , in this case 0x x + ...

**unknown quantity**. CH . III . § II . ] EQUATIONS OF THE FIRST DEGREE . 67. Page 68

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**unknown quantity**. 3. Solve the equation ax + c = bx + d . d - c Ans . x a - b 4. Solve the equation a ( d2 + 22 ) ax = ac + dx d Ans . x = - . x = c 5. Solve the equation c xm fxm = a + bx_d + ex Ans . x = 6. Solve the equation 3abc a2 ...### Other editions - View all

### Common terms and phrases

126 become zero 3d root arithmetical mean arithmetical progression Binomial Theorem 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 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