SOLUTION: State the value of A and the value of C and whether the graph of the equation is a circle, ellipse, hyperbola, or parabola. 7x^2 - 10x + 14y = -7y^2 + 20

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: State the value of A and the value of C and whether the graph of the equation is a circle, ellipse, hyperbola, or parabola. 7x^2 - 10x + 14y = -7y^2 + 20      Log On


   

Question 447733: State the value of A and the value of C and whether the graph of the equation is a circle, ellipse, hyperbola, or parabola.
7x^2 - 10x + 14y = -7y^2 + 20
Answer by solver91311(24713) About Me  (Show Source):
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Put the equation into standard form:



then A is the coefficient on the x-squared term, C is the coefficient on the y-squared term.

Neither A nor C is zero, hence NOT a parabola.

A and C have the same sign, hence NOT a hyperbola

A and C are equal, hence NOT an ellipse.

Only one thing left.


John

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