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For What Values of a and B Is (3,3.5)(3,3.5) Is an Inflection Point of the Curve

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For what values of a and b is (3,3.5)(3,3.5) is an inflection point of the curve x2y+ax+by=0x^{2} y+a x+b y=0 ? What additional inflection points does the curve have?

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