Equal area question

1. The problem statement, all variables and given/known data
"Find a horizontal line y=k that divides the area between y=x^2 and y=9 into two parts"

2. Relevant equations

3. The attempt at a solution
Found intersection at (-3,9), (3,9)
Found total area to be 36, half(the area needed for each portion) to be 18. Don't know where to go from here.
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 Find the two areas as a function of k.

 Quote by christianjb Find the two areas as a function of k.
Can you elaborate more on that? I'm not quite sure what you mean.

Equal area question

y=k divides the total area into two parts, A1=A1(k) and A2=A2(k). You need to find an expression for each area as a function of k and then find the value of k for which A1(k)=A2(k)
 Recognitions: Gold Member Science Advisor Staff Emeritus Don't be intimidated by the variable k -- the fact it's there changes nothing. You know how to compute areas, so compute the area of one of the portions.
 Recognitions: Gold Member Science Advisor Staff Emeritus What is the area of the region bounded by y= k, y= 9 and y= x2? For what value of k is that 18? Even simpler: What is the area of the region bounded by y= 0, y= k and y= x2? For what value of k is that 18?

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