25x^4-25x^2+6=0

Question

solve type an exact answers using radical and rationalize all denominators

Answer 1

First factor it to

(5x^2 - 2)(5x^2 - 3) = 0

x^2 = 2/5 or x^2 = 3/5

x = ±√2/√5 or x = ±√3/√5
rationalizing:

x = ±√10/5 or x = ±√15/5