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Math Help - college Math question

  1. #1
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    college Math question

    hi there i really appreciate it if someone can help me with this question

    If a that is not equal to b and 1/x + 1/a= 1/b, then x=

    thanks
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  2. #2
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    Quote Originally Posted by Fith Mengesha View Post
    hi there i really appreciate it if someone can help me with this question

    If a that is not equal to b and 1/x + 1/a= 1/b, then x=

    thanks
    There're a number of possible approaches. Here's one:

    Multiply both sides by axb:

    ab + bx = ax

    => ab = ax - bx = x(a - b).

    Therefore x = ab/(a - b).
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