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newchie

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## Homework Statement

A circle of maximal area is inscribed in the region bounded by the graph of y = -x^2-7x+12 and the x axis. The radius of this circle is of the form (sqrt(p) + q)/r where, p, q and r are integers and are relatively prime.What is p+q+r

## Homework Equations

Vertex form a(x-h)^2+k i believe

## The Attempt at a Solution

So i found the vertex, then i assumed that is one point on the circle, and the other is at (same x,0) then shifted along that but i don't seem to get it of the form sqrtp+q all over r

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