Conic Sections in Polar Coordinates · Exercise 131

Rewrite in the $x^{{}^{\prime }}{y}^{{}^{\prime }}$ system without the $x^{{}^{\prime }}{y}^{{}^{\prime }}$ term, and graph the rotated graph.

$16x^2+24xy+9y^2-125x=0$

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Algebra and Trigonometry 2e · §12.5 Conic Sections in Polar Coordinates · Exercise 131