Question 733732
{{{5x^2-30x+4y^2+24y+61=0}}}....write {{{61}}} as {{{45+36-20}}}

{{{5x^2-30x+45+4y^2+24y+36-20=0}}}...group

{{{(5x^2-30x+45)+(4y^2+24y+36)-20=0}}}

{{{5(x^2-6x+9)+4(y^2+6y+9)-20=0}}}

{{{5(x-3)^2+4(y+3)^2-20=0}}}


{{{ graph( 600, 600, -1, 10, -5, 5, sqrt(-(5/4)(x-3)^2+4)-3,-sqrt(-(5/4)(x-3)^2+4)-3) }}}