## Algebraical Problems, Producing Simple and Quadratic Equations, with Their Solutions; Designed as an Introduction to the Higher Branches of Analytics: to which is Added an Appendix, Containing a Collection of Problems on the Nature and Solution of Equations of Higher Dimensions |

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addition answer the conditions arithmetic series arithmetical progression casks common difference completing the square containing cost cube digits distance Divide the number equal equation of fractions equation x³ extracting the root extracting the square find the values former gain geometric series geometrical progression Given 3x Given x² greater guineas harmonic progression least common multiple length less Let the number number of acres number of days number of gallons number of pounds number of shillings number of terms number of yards pence pieces problem proportion px² Quadratics received Required the number second equation sheep shil sold square root squaring both sides Substituting this value subtraction third three numbers Transform the equation transposition travelled unknown quantity values of x wheat whence whole number x²y xy²