Question

Solve:
(4x^2-9)^2 -11(4x^2-9) +24 = 0

Answer 1

Let w=(4x^2 - 9).
Replace each occurrence of (4x^2 - 9) in the original equation with the symbol w.
w^2-11w+24 = 0 Solve for w. w=3 and w=8

Now solve each of the two quadratic equations 3=(4x^2 - 9) and 8=(4x^2 - 9) for x. You should have four solutions, two for the first equation and two for the second one.
One of the four solutions is ( sqrt(17) )/2 . You should be able to find the other 3.