‫Welcome back.
‫Let's now express K one as a function of Lunda one and LAMDA two and then K two as a function of Lumb
‫the one and LAMDA two.
‫So if we now take this first equation here, the one, then we can rewrite this entire equation like
‫this lamda one minus K, two over two.
‫So I just take this term and I put it on the other side of the equation sine and then that will equal
‫square root and then I have K two squared over four and plus K one.
‫And now what I can do I can square them both like this squared and squared.
‫And if you do that then you will get rid of this square root, you will have it like this then.
‫And so that means that we can express our K one like this, our K one which is here equals.
‫And I'm just going to put this term on the other side of the equation sine so I will have K one equals
‫lambda one minus K to over two.
‫And then this entire thing of course is squared like here and now minus K two squared over four.
‫So that's how I can express K one for now.
‫Then I go to another equation, this lambda two equation and in my lambda two equation I'm going to
‫replace this K one with this expression here.
‫And if I do the replacement then my Lambda two will look like this.
‫And now look, I can get rid of this term and this term because they amount to zero.
‫You have plus K two squared over four and minus K two squared over four.
‫And so you will have K two over to minus square root lambda one minus K two over two and all that is
‫squared.
‫And so you have something squared here and you have square root.
‫So they cancel each other out and so you will have lambda two equals K two over two minus and then lambda
‫one minus K two over to like this.
‫In other words you will have K two over to minus lambda one and then minus minus will give you plus,
‫so plus K two over two.
‫So that equals lambda two.
‫You can add this with this and then you can put lambda one on the other side of the equation sine so
‫k two over two plus K two over two will equal K two and then you will have lambda one plus lambda two
‫and that's it.
‫You have an expression for your K two and now you need an expression for K one.
‫And for that you go back to this expression here that you have K one equals all that and you will simply
‫replace K two with this expression.
‫So K one equals and now you will have lambda one here minus and then instead of K two you will have
‫lambda one plus lambda two over two and then all that squared minus and then here you have K to squared
‫over four.
‫So you're going to have lambda one plus lambda two squared and then divided by four.
‫And that's how you express your one as a function of LAMDA one and LAMDA two.
‫There you go.
‫You have your K one and K two in terms of number one and number two.
‫So you choose whatever polls you need and you put them in these equations and you get your K one and
‫K two values.