Question

x√6-2x+10>4√6 решите плиз

Answer 1

$\sqrt{6} x - 2x + 10 > 4 \sqrt{6} \\ \sqrt{6} x - 2x > 4 \sqrt{6} - 10 \\ ( \sqrt{6} - 2)x > 4 \sqrt{6} - 10 \\ x > \frac{4 \sqrt{6} - 10 }{ \sqrt{6} - 2 } \\ x > \frac{(4 \sqrt{6} - 10)( \sqrt{6} + 2)}{2} \\ x > \frac{2(2 \sqrt{6} - 5)( \sqrt{6} + 2) }{2} \\ x > (2 \sqrt{6} - 5)( \sqrt{6} + 2) \\ x > 12 + 4 \sqrt{6} - 5 \sqrt{6} - 10 \\ x > 2 - \sqrt{6}$