If 12^ 4+2 x^2 =(24 3 )^ 3 x^2-2 , then x is equal to

Step-by-step solution

aligned & We have, (12)^ 4-2 x^2 =(24 3 )^ 3 x^2-2 & array l (12)^ 4+2 x^2 =(12)^ 3 2 (3 x^2-2 ) array & 4+2 x^2= 3 2 (3 x^2-2 ) & 8+4 x^2=9 x^2-6 & 9 x^2-4 x^2=8+6 & 5 x^2=14 x^2= 14 5 x= 14 5 aligned