Prove:

{a,b,c∈ℝ|1/(bc-a^2)+1/(ca-b^2)+1/(ab-c^2)=0}→{a/(bc-a^2)^2+b/(ca-b^2)^2+c/(ab-c^2)^2=0}

Question

Prove:

{a,b,c∈ℝ|1/(bc-a^2)+1/(ca-b^2)+1/(ab-c^2)=0}→{a/(bc-a^2)^2+b/(ca-b^2)^2+c/(ab-c^2)^2=0}

anonymous · Answer

Man, I need to learn LaTeX.

kinggeorge · Answer

To clarify $$\{a,b,c∈ℝ|1/(bc-a^2)+1/(ca-b^2)+1/(ab-c^2)=0\}\longrightarrow$$$$\{a/(bc-a^2)^2+b/(ca-b^2)^2+c/(ab-c^2)^2=0\}$$Correct?

anonymous · Answer

Yup!

kinggeorge · Answer

Give me a minute to see if I can make this cleaner.

anonymous · Answer

Hey, @FoolForMath Gonna drag you in here whether you like it or not. XD

anonymous · Answer

This looks scary to me :P

anonymous · Answer

KingGeorge made the question look much cleaner.

kinggeorge · Answer

This is turning really nasty...

anonymous · Answer

Hooray for Math Club, making nasty question since... uh... the beginning of this year.

anonymous · Answer

@TuringTest I forgot to drag you in this too. XD

kinggeorge · Answer

I give up. No matter how I look at it, I can't form it into the right form.