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Find all points on the circle $x^2 + y^2 = 9$ that are 3.5 units from $(4,5)$

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Find the point on the circle $x^2 + y^2 = 9$ that is closest to $(4,5)$.

I only need to set both x and y to a common variable -- then I can use a graphing calculator to find the results.

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  • $\begingroup$ Why "polynomial word"? The title doesn't make sense to me... $\endgroup$ – draks ... Dec 14 '13 at 21:51
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For the first problem solve these 2 equations: $$x^2 + y^2 = 9 $$ $$(x-4)^2 + (y-5)^2 = 3.5^2 $$

For the second problem solve these 2 equations: $$x^2 + y^2 = 9 $$ $$4y=5x$$

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  • $\begingroup$ Thanks. I think I learned another approach - by using a graphing calculator to find the minimum (closest to the circle). Any idea how to do that? $\endgroup$ – Kevin Li Oct 17 '13 at 20:10

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