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Solving an equation with radicals

  1. Oct 13, 2011 #1
    Hello and good evening! I'm having a fair bit of difficulty with this question, any help would be appreciated.

    1. The problem statement, all variables and given/known data
    √(x2/2+11)=x-1
    Answers are required in mixed radical form.


    2. Relevant equations
    The quadratic formula/factoring will be useful near the end of the problem.


    3. The attempt at a solution
    I squared both sides of the equation to get
    x2/2+11=x2+1
    However I'm not quite sure how to proceed and whether eliminating the radical in the first step was the correct step.
     
  2. jcsd
  3. Oct 13, 2011 #2

    Dick

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    Science Advisor
    Homework Helper

    You are doing the right step but you squared the right side wrong. (x-1)^2 isn't equal to x^2+1. Try that again.
     
  4. Oct 13, 2011 #3
    You're right! I completely forgot it was a binomial. Thanks for your help.
     
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