Don't make mistakes! #2

Algebra Level 5

Add up all integers \(x\) that don't satisfy the below equation.

\[\large \frac{\sqrt{x-2}}{\sqrt{x-9}}=\sqrt{\frac{x-2}{x-9}}\]

Note:

  • We are taking the fundamental (complex) square root.
  • If you think all integers satisfy the equation, submit -999999 as your answer.
  • If you think there are infinitely many integers that don't satisfy the equation, submit 999999 as your answer.

This problem is a part of <Don't make mistakes!> series.

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