SOLUTION: 3x^2-5x+3y^2-8=0 write in standard form. Identify if it's a circle, parqabola, hyperbola, or an ellipse. Graph and label apporpriate parts.

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: 3x^2-5x+3y^2-8=0 write in standard form. Identify if it's a circle, parqabola, hyperbola, or an ellipse. Graph and label apporpriate parts.      Log On


   

Question 457667: 3x^2-5x+3y^2-8=0
write in standard form. Identify if it's a circle, parqabola, hyperbola, or an ellipse. Graph and label apporpriate parts.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
3x^2-5x+3y^2-8=0
write in standard form. Identify if it's a circle, parabola, hyperbola, or an ellipse. Graph and label apporpriate parts.
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3x^2-5x+3y^2-8=0
completing the square
3(x^2-5x/3+25/36)+3y^2=8+25/12=192/24+50/24=242/24=121/12
3(x-5/6)^2+3y^2=121/12
divide by 3
(x-5/6)^2+y^2=121/36
This equation is a circle with center at (5/6,0) and radius = sqrt(121/36)=1.83..
see graph below:
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y=(121/36-(x-5/6)^2)^.5