Question 49056
{{{3x^2 - 2y^2 - 12x - 20y - 44 = 0}}}
{{{3x^2 - 12x - 2y^2 - 20y = 44}}}
{{{3(x^2 - 4x) - 2(y^2 + 10y) = 44}}}
{{{3(x^2 - 4x) - 2(y^2 + 10y) = 44}}}
{{{3(x - 2)^2 - 2(y + 5)^2 = 44 + 4*3 + 25*2}}} You square the number, then multiply it by the coefficient.
{{{3(x - 2)^2 - 2(y + 5)^2 = 106}}}
{{{(x - 2)^2/(106/3) - (y + 5)^2/53 = 1}}}
{{{graph(600,600,-20,20,-20,20,sqrt(-53 + (3/2)(x - 2)^2) - 5,-sqrt(-53 + (3/2)(x - 2)^2) - 5,-5,sqrt(53)x/sqrt(106/3) - 2*sqrt(53)/sqrt(106/3) - 5,-sqrt(53)x/sqrt(106/3) + 2*sqrt(53)/sqrt(106/3) - 5)}}}