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Areas between curves

  1. Dec 5, 2007 #1
    1. The problem statement, all variables and given/known data
    Find the area between
    x=2(y^2) and x+y=1



    3. The attempt at a solution
    First I'm trying to find their intersection so

    To solve for y I set up:
    2(y^2)=1-y
    2(y^2)+y=1
    y=0,1

    But, I notice that my teacher did:
    2(y^2)+y-1=0
    (2y+1)(y-1)=0
    y=-1, 1/2

    Why are these 2 methods bringing about different answers? Shouldn't they be the same?
     
  2. jcsd
  3. Dec 5, 2007 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    Don't double post.
     
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