00:01
Okay, we're giving this partial fraction and we'd like to break it down in, oh sorry, we'd like to break it down into partial fraction form.
00:07
So x squared plus nine does not factorise at all, so we're just going to get two fractions, x squared plus nine plus x squared plus nine squared, and both of these will have to be, have an x value and a nought value, so a x plus b, cx plus d.
00:28
Okay.
00:29
And so let's just find this out.
00:30
We've got x squared is going to be equal to a x times by x squared plus 9 plus b lots of we can do that in a bracket almost if you want plus b lots of x square plus 9 and this will be plus cx plus d so clearly we're going to have we we have we want x squared and the only place we can get an x squared from is our b so clearly b is going to have to equal 1.
01:05
And we've got no, we've got zero of our units, but we know, well, we know you need to do zero, but because we know the b is 1, well, we're going to have 9 on this right -hand side...