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Math Help - Make 'v' the subject

  1. #1
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    Make 'v' the subject

    Is it possible to make v the subject of this equation:
    <br />
v^2 + \frac {2k v^2} {c^2} - \frac {k v^4} {c^4} = k<br />

    ... where 'k' and 'c' are constants. Thanks, Ali Khan.
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  2. #2
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    Quote Originally Posted by AAKhan07 View Post
    Is it possible to make v the subject of this equation:
    <br />
v^2 + \frac {2k v^2} {c^2} - \frac {k v^4} {c^4} = k<br />

    Thanks, Ali Khan.
    Yes.

    First re-arrange:

    kv^4 - (2kc^2 + c^4) v^2 + kc^4 = 0.

    This is a quadratic equation in v^2 so use the quadratic formula to solve for v^2. The number of solutions will depend on the values of k and c.

    Now solve for v.
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  3. #3
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    Thanks, it's so obvious now that I think about it... in case you're interested, the calculation involves Quantum Theory, signals travelling back in time to collapse a wavefunction.
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