I am currently doing some questions for loci of complex numbers and this question stumped me.
I did some algebra, and got to here:
$$128(x^2 - 2x) + 144y^2 = 1024.$$
However, the answer scheme then simplifies this to:
$$128(x-1)^2 + 144y^2 = 1152.$$
How did this happen? Shouldn't the $1024$ become $1025$ instead (from the $(x-1)^2$ )?