SOLUTION: The equation 3x^2+5x-6y^2-5y=x^2-10y^2+100 is a- circle, ellipse, hyperbola, parabola or line.

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: The equation 3x^2+5x-6y^2-5y=x^2-10y^2+100 is a- circle, ellipse, hyperbola, parabola or line.      Log On


   

Question 792268: The equation 3x^2+5x-6y^2-5y=x^2-10y^2+100 is a- circle, ellipse, hyperbola, parabola or line.
Answer by lwsshak3(11628) About Me  (Show Source):
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The equation 3x^2+5x-6y^2-5y=x^2-10y^2+100 is a- circle, ellipse, hyperbola, parabola or line.
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3x^2+5x-6y^2-5y=x^2-10y^2+100
4x^2+5x+4y^2-5y=100
complete the square
4(x^2+5x/4+25/4)+4(y^2-5y/4+25/4)=100+25+25
4(x+5/2)^2+4(y-5/2)^2=150
%28x%2B5%2F2%29%5E2%2B%28y-5%2F2%29%5E2=37.5
This is an equation of a circle
Its standard form of equation: %28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2, (h,k)=(x,y) coordinates of center, r=radius