SOLUTION: Cant seem to get started on this one. Quadriatic in the unknown. 6/x^2+1/x-2=0 (Substitute u=1/x)

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: Cant seem to get started on this one. Quadriatic in the unknown. 6/x^2+1/x-2=0 (Substitute u=1/x)      Log On


   

Question 408207: Cant seem to get started on this one. Quadriatic in the unknown.
6/x^2+1/x-2=0 (Substitute u=1/x)
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

6/x^2+1/x-2=0    (Substitute u=1/x)

6u^2 + u - 2 = 0

factoring

(3u+2 )(2u-1)=0 Note:SUM of the inner product(4u) and the outer product(-3u) = u

  (3u+2 )=0  u = -2/3    1/x = -2/3    x = -3/2

  (2u-1)=0   u = 1/2     1/x = 1/2     x = 2



CHECKING our Answer***

6/x^2+1/x-2=0 OR

6 + x - 2x^2 = 0

6 - 3/2 - 18/4 = 0

6 + 2 - 8 = 0