Solve. Simplify answer using radicals as needed. Rationalize all denominators.
6x^4 - 11x^2 +3 = 0
Let u = x^2
The equation then becomes
6u^2 -11 u + 3 = 0
which factors into
(3u -1)(2u-3)
u = 1/3 or 3/2
x is the square root of either u. That makes a total of four real roots.