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}

Answer 1

Man, I need to learn LaTeX.

Answer 2

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?

Answer 3

Yup!

Answer 4

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

Answer 5

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

Answer 6

This looks scary to me :P

Answer 7

KingGeorge made the question look much cleaner.

Answer 8

This is turning really nasty...

Answer 9

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

Answer 10

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

Answer 11

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