00:01
In this question, we need to solve the equation x x x x topa 4 plus 4 x square minus 12 is equal to 0.
00:09
We know that 4x square can be written as the difference of 6x square and 2x square.
00:17
Therefore, sector out x squared from first two terms and negative of 2 from last 2 terms.
00:24
We get x square times of x square plus 6 minus 2.
00:30
Times of x square plus 6 if we equal to 0.
00:34
Now we can see that x square plus 6 lies in both the turns.
00:38
Therefore, factor out x squared plus 6 and we are left with x square minus 2 is equal to 0.
00:46
Now equating both the sectors with 0, we get firstly x square minus through equal to 0, that is x squared is equal to 2.
00:58
For the taking square root on both sides, we get, firstly, x square minus 2.
01:00
To get x is equal to plus minus square root of 2...