Question

What is true about the solution of x^2 / 2x - 6 = 9 / 6x - 18

Answer 1

A on edge/e2020

Explanation:

Answer 2

`\text{The domain}\\2x-6\\eq0\ \wedge\ 6x-18\\eq0\to x\\eq3\\\\(x^2)/(2x-6)=(9)/(6x-18)\\\\(x^2)/(2(x-3))=(9)/(6(x-3))\ \ \ |\cdot6\\\\(3x^2)/(x-3)=(9)/(x-3)\iff3x^2=9\ \ \ |:3\\\\x^2=3\to x=\pm\sqrt3`