SOLUTION: ) Use the discriminant to determine whether the graph of the
equation 13x^2+6 square root 3+7y^2 +16 is a parabola, an ellipse, or a hyperbola.
Use a rotation of axes to eliminat
Algebra ->
Quadratic-relations-and-conic-sections
-> SOLUTION: ) Use the discriminant to determine whether the graph of the
equation 13x^2+6 square root 3+7y^2 +16 is a parabola, an ellipse, or a hyperbola.
Use a rotation of axes to eliminat
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Question 928503: ) Use the discriminant to determine whether the graph of the
equation 13x^2+6 square root 3+7y^2 +16 is a parabola, an ellipse, or a hyperbola.
Use a rotation of axes to eliminate the xy-term and sketch the graph.
I got that the equation was going to be an ellipse
i got that x= 1square root3/ 2 X- 1/2Y
y=1/2X+square root3/2Y
but when i plug them into the original equation the xy term does not cancel out I dont know what i did wrong Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! 13x^2+6 square root 3+7y^2 +16
this is an ellipic paraboloid
polynomial discriminant is
delta x = -52(7y^2 +(6*square root(3)) +16)
min is (16 + (6*square root(3))) at (x,y) = (0,0)
y = square root(-13x^2 -(6*square root(3)) -16) / square root(7)
y = -square root(-13x^2 -(6*square root(3)) -16) / square root(7)
