Hmm...I can't see what the significance of the the first quadrant point is...

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- Sep 16th 2011, 03:23 PMVeronica1999square root function
Hmm...I can't see what the significance of the the first quadrant point is...

- Sep 16th 2011, 09:32 PMCaptainBlackRe: square root function
The coordinate is the solution of the equation which may be expanded:

and again:

(but now we need to remember that ) and rearranging we have:

which by Descartes rule of signs has exactly one positive root. So the coordinate of the point of intersection is the unique positive root of the quartic:

CB