Question

Rezolvati ecuatia:
$\sqrt{5-x} + \sqrt{x-6} =x$

Answer 1

$\displaystyle Conditii~de~existenta: \\ \\ \left \{ {{5-x \ge 0} \atop {x-6 \ge 0}} \right. \Leftrightarrow \left \{ {{x \le 5} \atop {x \ge 6}} \right. . \\ \\ Cele~doua~relatii~nu~pot~avea~loc~simultan,~ceea~ce~inseamna~ca \\ \\ ecuatia~nu~admite~solutii~reale. \\ \\ Solutie: \varnothing.$