Robert J. answered • 11/25/12

Certified High School AP Calculus and Physics Teacher

Assume the student meant 1/(x^{2}-4) = 6/x

Cross multiplication leads to x = 6x^{2} - 24

Collect all terms in one side,

6x^{2} - x - 24 = 0

Apply quadratic formula,

x = (1/12)[1 +/- sqrt(577)]