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    parleybear's Avatar
    parleybear Posts: 1, Reputation: 1
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    #1

    Sep 29, 2009, 05:32 PM
    I can't solve a literal equation
    I'm stumped at how to solve the following for a: 1/r=1/a+1/b
    KISS's Avatar
    KISS Posts: 12,510, Reputation: 839
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    #2

    Sep 29, 2009, 11:28 PM

    It looks like a parallel reistance formula. I've seen it written like that or r=1/(1/a+1/b); usually written as 1/Rt=1/R1+1/R2+1+1/R3... +1/Rn
    ArcSine's Avatar
    ArcSine Posts: 969, Reputation: 106
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    #3

    Sep 30, 2009, 05:16 AM
    Start by deducting 1/b from both sides. Then take the reciprocal of both sides (which you can do because every number--other than zero--has exactly one multiplicative inverse; so if x = y then it's also true that 1/x = 1/y.)

    You'll immediately arrive at an equation of the form KISS described, except it'll be solved for a instead of r.
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