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22 September, 07:08

Solve for k. a/b=b/a+1/k

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  1. 22 September, 09:07
    0
    k = ab / (a^2 - b^2)

    Step-by-step explanation:

    a/b=b/a+1/k

    Multiply each side by abk to get rid of the fractions

    abk * a/b=abk (b/a+1/k)

    a^2k = b^2k + ab

    Subtract b^2k from each side

    a^2k - b^2k = b^2k - b^2k + ab

    a^2 k - b^2 k = ab

    Factor out k

    k (a^2 - b^2) = ab

    Divide each side by (a^2 - b^2)

    k (a^2 - b^2) / (a^2 - b^2) = ab / (a^2 - b^2)

    k = ab / (a^2 - b^2)
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