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.

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- Oct 12th 2013, 02:21 AMPazeSolve equation
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. - Oct 12th 2013, 06:06 AMPazeRe: Solve equation
Really need help on this one. It's a string in a series of long calculus computations that are due for monday :)

- Oct 12th 2013, 06:31 AMShakarriRe: Solve equation
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. - Oct 12th 2013, 06:38 AMPazeRe: Solve equation