SOLUTION: type of equation for 0=3x^2+y^2-12x-30y+181

Question 314736: type of equation for 0=3x^2+y^2-12x-30y+181
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

As for the type of equation, it is a quadratic polynomial in two variables. If what you really meant was: "What type of conic section curve is represented by the graph of the given equation?" -- that is a different matter altogether.

You have both x-squared and y-squared terms, therefore NOT a parabola,

You have different magnitude coefficients on the x-squared and y-squared terms, therefore NOT a circle.

The x-squared and y-squared terms have the same sign, therefore NOT a hyperbola.

Therefore, you have an ellipse.

John

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