Question 59690
The given expression is: 


6t^4 = -t^2 + 5


Adding (t^2 - 5) on both sides of the given expression, we get: 


6t^4 + t^2 - 5 = 0


Using the Method of Factorization, we get: 


6t^4 + 6t^2 - 5t^2 - 5 = 0 


==> 6t^2(t^2 + 1) - 5(t^2 + 1) = 0


==> (6t^2 - 5)(t^2 + 1) = 0 


Thus, we get: 


6t^2 - 5 = 0   and   t^2 + 1 = 0


==> t = + or - radical(5/6) 


and t = + or - I 


So, your answer is perfectly right!!