47.5 [ (1/x) - 1/ x*(x+1)^21] + [1000 / (x+1)^21] = 1289

[cwwhitsi]

I do pretty well in Math but I am completely blanked as to how to solve this problem other than typing it in a calculator. Help please?

47.5 [ (1/x) - 1/ x*(x+1)^21] + [1000 / (x+1)^21] = 1289

Thanks

 

[Denis]

Re: Weird Problem

47.5 [ (1/x) - 1/ x*(x+1)^21] + [1000 / (x+1)^21] = 1289

Yikes!
Can you clarify this term: 1/ x*(x+1)^21:
is it 1 divided by [x*(x+1)^21] or (1/x) times (x+1)^21 ?

 

[cwwhitsi]

it is the first one of the two you said: 1 divided by [x*(x+1)^21]

 

[Denis]

Let k = (x + 1)^21; so we then have:

47.5/x - 47.5/(kx) + 1000/k = 1289 ; double to get rid of decimal:

95/x - 95/(kx) + 2000/k = 2578 ; multiply by kx:

95k - 95 + 2000x = 2578kx
95k - 95 = 2578kx - 2000x

so x obviously = 0

But then we have 0 denominators... :shock: