K+w/kw=2/k+1 solve for K?

Question

K+w/kw=2/k+1 solve for K?

Answer 1

w/kw=2/k+1-k        think about it w/kw=k



k=2/k+1-k        0=(2/k+1-k)/k

0=2/k^2+(1/2)-1     0=2/k^2-(1/2)

1/2=2/k^2        (1/2)k^2=2    k^2=2/(1/2)

k^2=4     take square root of both sides

k=2

Answer 2

k+w/kw=2/k+1

I have to make guesses about where the parans go...

also, I'll solve for k not K

k+(w/kw) = (2/k) +1

k+(1/k) = (2/k) +1

mult by k

k² + 1 = 2 + k

k² - k - 1 = 0

use quadratic equation:

k = [1 ±√(1²+4)] / 2

k = [1 ±√5] / 2

k = ½ ± ½√5

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