# Write the equation of a conic 9*x^2+4*y^2+12*x-8*y-10=0 in the standard form in terms of new variables X,Y. Identify the name of the conic, find the new origin location, and plot the curve. Show your manual work.# 9*x^2+12*x+4*y^2-8*y-10=0# 9*(x^2-4/3X)+4(y^2-2y)-10=0# 9*(x-2/3)^2+4*(y-1)^2-10-4-4=0# 9*(x-2/3)^2+4*(y-1)^2=18# divide by 18# ((x-2/3)^2)/2+(2*(y-1)^2)/9=1# ((x-2/3)^2)/sqr(2)^2+(2*(y-1)^2)/3=1# this is a ellipse conic
