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Question 770630: Identify the type of conic, if any, represented by this equation. If the equation does represent a conic, state its vertex or center.
5x^2+10x+8y^2-48y+37=0
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Identify the type of conic, if any, represented by this equation. If the equation does represent a conic, state its vertex or center.
5x^2+10x+8y^2-48y+37=0
Complete the square on the x-terms and on the y-terms.----
5(x^2+2x+1) + 8(y^2-6y+9) = -37+5*1+8*9
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5(x+1)^2 + 8(y-3)^2 = 40
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(x+1)^2/8 + (y-3)^2/5 = 1
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Ellipse:
Center at (-1,3)
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Cheers,
Stan H.
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