I'm having severe difficulties solving this equation:
$\displaystyle \frac{\sqrt{x^2-50x+1525}}{x-25}+\frac{\sqrt{x^2+400}}{x}=0$
I tried most conventional algebra methods but none seem to work! Thanks.
You can use conventional algebra methods
$\displaystyle \frac{\sqrt{x^2-50x+1525}}{x-25}=-\frac{\sqrt{x^2+400}}{x}$
Cross-multiply
$\displaystyle (x)\sqrt{x^2-50x+1525}=-(x-25)\sqrt{x^2+400}$
Then square both sides. It starts as a nasty equation but simplifies to something quite nice.