Question 953054
{{{9x^2 - 4y^2 + 54x + 8y + 41 = 0}}}
Complete the square in x and y.
{{{9x^2+54x-4y^2+8y=-41}}}
{{{9(x^2+6x)-4(y^2-2y)=-41}}}
{{{9(x^2+6x+9)-4(y^2-2y+1)=-41+9(9)-4(1)}}}
{{{9(x+3)^2-4(y+1)^2=36}}}
{{{highlight((x+3)^2/4-(y+1)^2/9=1)}}}
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{{{graph(300,300,-10,10,-10,10,-1+sqrt((x+3)^2/4-1),-1-sqrt((x+3)^2/4-1))}}}