.... * • 4 r« •• j. ». ¡ -'B»f Butthefe Aquations having as many Roots, Real, or Imaginary, as there are Units in the Index of the higheft Power of the Root fought ; and being not produc'd by the Multiplication of two Lateral .Equations (as the foregoing...

...or univerially a" Hr. sa~ = rr ^? is an But thefe Equations having as many Roots Real or Imaginary, as there are Units in the Index of the higheft Power of the Root fought, and being not produced by the Multiplication of two Lateral Equations (as the foregoing...

...roots,—a,—b, And —c. By pursuing this inquiry it will be found, that any equation of this kind, admits of as many roots as there are units in the index of the highest power of the unknown quantity; that the number of positive and negative roots, will be, respectively,...

...product can become nothing only when one or more of its factors vanish. An equation, therefore, can have as many roots as there are units in the index of the highest power of the unknown quantity, and no more. 173. From § 172. we see, conversely, that if the...

...product can become nothing only when one or more of its factors vanish. An equation, therefore, can have as many roots as there are units in the index of the highest power of the unknown quantity, and no more. 173. From § 172. we see, conversely, that if the...

...we have V = (x — a) Q = 0, which may be satisfied by making x — a = 0, that is x = a. 136. Every equation has as many roots as there are units in the index of the highest power of the unknown quantity. Let a be a root of the equation af + Аж"-'. . . . Pr + R =...

...sheep cost 50s. each, the oxen 251. How many of each did he buy ? ON THE ROOTS OF EQUATIONS. 141. Every equation has as many roots as there are units in the index of the highest power of the unknown quantity. Thus a simple equation has only one root, a quadratic equation...