SOLUTION: Consider the circle with equation x^2 + y^2 = 100. Determine the coordinates of the point(s) with an x value of 3. *Analytic Geometry Question*

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Question 1038155: Consider the circle with equation x^2 + y^2 = 100. Determine the coordinates of the point(s) with an x value of 3.
*Analytic Geometry Question*
Found 4 solutions by garettbuff, Alan3354, MathTherapy, jim_thompson5910:
Answer by garettbuff(18) About Me  (Show Source):
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Consider the circle with equation x^2 + y^2 = 100. Determine the coordinates of the point(s) with an x value of 3.
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(3,sqrt(91))
(3,-sqrt(91))

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Consider the circle with equation x^2 + y^2 = 100. Determine the coordinates of the point(s) with an x value of 3.
*Analytic Geometry Question*

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Plug in x = 3 and solve for y.

+x%5E2+%2B+y%5E2+=+100
+3%5E2+%2B+y%5E2+=+100
+9+%2B+y%5E2+=+100
+9+%2B+y%5E2-9+=+100-9
+y%5E2+=+91
+y+=+sqrt%2891%29 or +y+=+-sqrt%2891%29

So the two points are and