Question

Determinați numarul real x care verifică egalitățile​

Answer 1

${}^{ {}^{ \sqrt{2} )} } \tfrac{x}{ \sqrt{2} } - {}^{ {}^{ \sqrt{6} )} } \tfrac{3}{ \sqrt{6} } = {}^{ {}^{ \sqrt{3} )} } \tfrac{ \sqrt{2} }{ \sqrt{3} } \\ \\ {}^{ {}^{3)} } \tfrac{ \sqrt{2}x }{2} - \tfrac{3 \sqrt{6} }{6} = {}^{ {}^{2)} } \tfrac{ \sqrt{6} }{3} \\ \\ 3 \sqrt{2} x - 3 \sqrt{6} = 2 \sqrt{6} \\ \\ 3 \sqrt{2} x = 5 \sqrt{6} \\ \\ x = \frac{5 {}^{} \sout{\sqrt{6}} {}^{ {}^{ \: \: \sqrt{3} } } }{3 \sout{\sqrt{2}} _{ _{ \: \: 1} } } \\ \\ x = \frac{5 \sqrt{3} }{3}$