SOLUTION: Write the equation of a circle in standard form and graph on a coordinate plane. {{{3x^2+3y^2+2x-4y=0}}}

Algebra ->  Coordinate-system -> SOLUTION: Write the equation of a circle in standard form and graph on a coordinate plane. {{{3x^2+3y^2+2x-4y=0}}}      Log On


   

Question 1121648: Write the equation of a circle in standard form and graph on a coordinate plane.
3x%5E2%2B3y%5E2%2B2x-4y=0
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
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3x%5E2%2B3y%5E2%2B2x-4y=0
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x%5E2%2By%5E2%2B2x%2F3-4y%2F3=0

x%5E2%2B2x%2F3%2By%5E2-4y%2F3=0

Complete the Squares.



%28x%2B1%2F3%29%5E2%2B%28y-2%2F3%29%5E2=1%2F9%2B4%2F9

highlight%28%28x%2B1%2F3%29%5E2%2B%28y-2%2F3%29%5E2=5%2F9%29
Center at (-1/3, 2/3)
Radius sqrt%285%29%2F3