What Does K Equal in the Equation 0.571 = 1-k/(1-0.647k)?

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Homework Statement



If 0.571 = 1-k/1-0.647k

What does K equal?

(ans K = 0.681)

2. The attempt at a solution

I have tried moving getting K on its own with no luck, I think I need to solve for K using simultaneous equations, but don't know where to start
 
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The way you have entered this, I see:
.571 = 1 - \frac{k}{1} - 0.647k
This can't be what you mean, and, to be quite honest, I don't know what it is you are trying to solve. Please re-type the equation but include appropriate parentheses.

If this is just one equation, then how and why do you think you will be able to solve it with multiple equations. This is just one equation and any reasonable interpretation of the input is just a matter of multiplying both sides by some quantity and then going from there.

Also, why is this in the calc forum? Is this a part of a calc problem or something?
 
Don't worry I worked it out myself, << comment deleted by Moderator >>
 
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It seems like he cared enough to type out your equation in Latex, when you couldn't be bothered trying to make your equation clear.

Make some effort, then perhaps others will too.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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