00:01
We have to solve and then graph the quadratic equation that is x squared plus 36 is equal to 12x.
00:08
So first let's solve it by factorization and then we'll graph it.
00:11
So we can rewrite the given equation as x square minus 12x plus 36 is equal to 0, which means now since we are using factorization, so we'll use the middle term splitting and we'll get something like this.
00:24
So this means taking x common, we'll have x minus 6 inside.
00:29
And from the next part, taking 6 common, we'll again have x minus 6 inside, which means the factors are x minus 6 multiplied with x minus 6.
00:39
So from this we can say that either x minus 6 is equal to 0 or x minus 6 is equal to 0.
00:47
So in the first case, if x minus 6 is equal to 0, so that would imply that x is equal to 0 plus 6, so x is equal to 0 plus 6.
00:54
Similarly in the second case also if x minus 6 is equal to 0 which means x is equal to 6.
01:01
So therefore the solution set for x stands at 6 6...