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V^2 − (v/4)^2 = 196

  1. Nov 14, 2011 #1
    1. The problem statement, all variables and given/known data

    I'm solving for v in:

    v^2 − (v/4)^2 = 196

    2. Relevant equations



    3. The attempt at a solution

    →v^2(1-(1/4))=196

    →v^2(.75)=196 → √(196/.75)≈16.17

    What did I do wrong?
    I know this isn't the right answer, but why?
     
  2. jcsd
  3. Nov 14, 2011 #2
    You did something wrong with this part of the equation

    (v/4)^2
     
  4. Nov 14, 2011 #3
    I forgot to square the (1/4)! how silly of me.
    Thank you!
     
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