Melody

The x^3 term will be    ax^2*3x  +  -5x*bx^2 = (3a-5b)x^3

so    3a-5b = 20

Now find x^2 term and then solve simultaneously.  

This is the infinite sum of a GP and it equals 7

Does that help?

Boxes

\( \boxed{\phantom{X}}>\boxed{\phantom{X}}>\boxed{\phantom{X}}<\boxed{\phantom{X}}<\boxed{\phantom{X}}\)

LaTex for the boxes:

\boxed{\phantom{X}}>\boxed{\phantom{X}}>\boxed{\phantom{X}}<\boxed{\phantom{X}}<\boxed{\phantom{X}}

The middle one must be the smallers so the middle one is 1

Now counting.

54123

53124

52134

43125

42135

32145

so I get 6 ways

LaTex for the boxes:

\boxed{\phantom{X}}>\boxed{\phantom{X}}>\boxed{\phantom{X}}<\boxed{\phantom{X}}<\boxed{\phantom{X}}

That is interesting. I shall try and remember it. 

Thanks Asinus,

Also asked and answered here

I see you have asked the same question again.

Please do not do that.

You can make another post just putting a link back to the original question and asking people to answer on the original if you want to.

Guest has put a lot of work into this answers (I have not looked at it myself but at a glance it looks impressive, thanks guest.

Don't you understand the answer given?  You were asked for an exact value, not an approximation. 

You didn't thank guest for his/her efforts either.  Didn't even give him a point.

I know you are a new member so some of these oversites could just be you not understanding how it works. I am sorry if I have sounded to harsh.

Please simplify guests answer and tell us what you get. I want to see if you can do that properly.

For you and others:

You have another answer from asinus here:

Can't you count?

Yes, that is right, good work.

Hint:

If a triangle has sides 10 and 10 with the angle between them x degrees

The area of area of the triangle will be  1/2 * 10 * 10 * sin(x)

Draw the rhomubus, that will help you see the relevance.