 #1
 23
 1
 Homework Statement:

$$
\left(x \sqrt{\left(\frac{3+\sqrt{13}}{2 \sqrt{13}}\right)}y \sqrt{\frac{3\sqrt{13}}{2 \sqrt{13}}}\right)^{2}2\left(x \sqrt{\left(\frac{3+\sqrt{13}}{2 \sqrt{13}}\right)y\left(\frac{3\sqrt{13}}{2 \sqrt{13}}\right)}\right)\left(x \sqrt{\frac{3\sqrt{13}}{2 \sqrt{13}}}y \sqrt{\frac{3+\sqrt{3}}{2 \sqrt{13}}}\right)+4\left(x \sqrt{\frac{3\sqrt{13}}{2 \sqrt{13}}}y \sqrt{\frac{3+\sqrt{13}}{2 \sqrt{13}}}\right)^{2}4=0
$$
 Relevant Equations:
 Substituting in second order polynomial to rotate it to remove xy values. But this question is just to ask for a technique for simplifying.
I'm not sure how to simplify this without spending a lot of time on it. Is there a pattern that I need to weed out?
##x^{\prime 2}(5 / 2\sqrt{13} / 2)+y^{\prime 2}(5 / 2+\sqrt{13} / 2)4=0##