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Find the Maximum and the Minimum Points for the Implicit 9x2+4y218x16y11=09 x^{2}+4 y^{2}-18 x-16 y-11=0

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Find the maximum and the minimum points for the implicit relation: 9x2+4y218x16y11=09 x^{2}+4 y^{2}-18 x-16 y-11=0

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