SOLUTION: Classify the conic section and write its ezuation in standard form. Then graph the equation.
4x^2+9y^2+40x+72y+208=0
It is an ellipse. I Completed the square and all that but I
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Quadratic-relations-and-conic-sections
-> SOLUTION: Classify the conic section and write its ezuation in standard form. Then graph the equation.
4x^2+9y^2+40x+72y+208=0
It is an ellipse. I Completed the square and all that but I
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Question 744040: Classify the conic section and write its ezuation in standard form. Then graph the equation.
4x^2+9y^2+40x+72y+208=0
It is an ellipse. I Completed the square and all that but I can't factor it after that.. Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! Classify the conic section and write its equation in standard form. Then graph the equation.
4x^2+9y^2+40x+72y+208=0
complete the square:
4x^2+40x+9y^2+72y+208=0
4(x^2+10x+25)+9(y^2+8y+16)=-208+100+144
4(x+5)^2+9(y+4)^2=36
Given conic section is an ellipse with horizontal major axis with center at (-5,-4)
y=±(4-4(x+5)^2/9)^.5-4
see graph below as a visual check:
(