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Finding critical values of hard functions

  1. Mar 6, 2013 #1
    1. The problem statement, all variables and given/known data
    Ive been working on this problem for about 2 hours now and I can not get the right critical values. Please help.


    2. Relevant equations
    I found the derivative of the equation is sqrt(3/2) x-3/8 (10-3 x) and ive checked this over many times so im pretty confident in my answer.


    3. The attempt at a solution Im sure what to do with the √2 and the 8 on the bottom. I did it with disregarding them and I now that's wrong but it cam up with the closet answer. I got it to the point of x+9x=30/√3 I get lost after that and im pretty sure my work before this point is wrong also.
    1. The problem statement, all variables and given/known data

    im just trying to find the smallest area a square and triangle with perimeter some of 10 can be.
     
    Last edited: Mar 6, 2013
  2. jcsd
  3. Mar 6, 2013 #2

    Ray Vickson

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    Homework Helper

    I don't see an equation anywhere; an equation must have an '=' sign in it. Do you mean that you want to solve
    [tex] \sqrt\frac{3}{2}\: x - \frac{3}{8} (10 - 3x) = 0?[/tex]
    If so, that is just elementary algebra.
     
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