Problem:
Find all real solutions to $\sqrt{\frac{13 x}{2}+\frac{3}{2}}+\sqrt{\frac{25 x}{2}-\frac{9}{2}}=\frac{23}{2}$
Answer:
$\left\{\left\{x\to \frac{1}{144} \left(10195-23 \sqrt{176533}\right)\right\}\right\}$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/sqrt_equations/6359.txt'}