00:01
Given equation is 3x power 4 minus 2 x squared minus 1 equal to 0.
00:08
So let us suppose that x squared is equal to t.
00:11
So we can write here this as 3 t squared minus 2 t minus 1 equal to 0.
00:17
So now we can solve this by splitting of middle term.
00:19
So this we can write 3 t squared minus 3 t plus t minus 1 equal to 0.
00:25
So here we can take 3 t comma so this will be t minus 1.
00:30
Plus one common, so this will be t minus 1 equal to 0.
00:33
That means we can write this as 3 t plus 1 multiplied with t minus 1 equal to 0.
00:40
So here we are getting t is equal to minus 1 by 3 or t is equal to 1.
00:45
So we will check these answers.
00:48
So in the checking, before that we have to check here we have assumed that x squared equal to t.
00:54
So that means you will write x squared equal to minus 1 by 3...