Question 421527

6x^4-7x^2+2=0

=>  6x^4 -4x^2 -3x^2 +2 =0

=> 2x^2(3x^2-2) -1(3x^2 -2) = 0

=> (2x^2-1)(3x^2-2) =0


for 2x^2 -1 = 0


=> x^2 =1/2 , x = 1/√2 , -1/√2


for 3x^2 -2 =0


=> x^2 = 2/3 , x= √2/√3  , -√2/√3