Question

rezolvati, in multimea nr reale ecuatia din imagine, multumesc!

Answer 1

$\frac{x}{2 - \sqrt{3} } - \frac{x}{2 + \sqrt{3} } = 4 \sqrt{3} \\ \\ \\ \\ 2x + \sqrt{3} x - ( 2x - \sqrt{3} x) = (2 {}^{2} - \sqrt{3} {}^{2} ) \times 4 \sqrt{3} \\ \\ \\ \\ 2x + \sqrt{3} x - (2x - \sqrt{3} x) =( 4 - 3) \times 4 \sqrt{3} \\ \\ \\ \\ 2x + \sqrt{3} x - 2x + \sqrt{3} x = 4 \sqrt{3} \\ \\ \\ \\ \sqrt{3} x + \sqrt{3} x = 4 \sqrt{3} \\ \\ \\ \\ {}^{ {}^{ \sqrt{3} (} } 2 \sqrt{3} x = {}^{ {}^{ \sqrt{3}( } } 4 \sqrt{3} \\ \\ \\ \\ 2x = 4 \\ \\ \\ \\ x = 2$