Question 1170848


{{{5x^2+5y^2+10x+1=0}}}

 in standard form

{{{(5x^2+10x)+5y^2+1=0}}}......complete square

{{{5(x^2+2x)+5y^2=-1}}}...divide by {{{5}}}

{{{(x^2+2x)+y^2=-1/5}}}

{{{(x^2+2x+b^2)-b^2+y^2=-1/5}}}

{{{(x^2+2x+1^2)-1^2+y^2=-1/5}}}

{{{(x+1)^2+y^2=-1/5+1}}}

{{{(x+1)^2+y^2=4/5 }}}