# Find the real root for this equation

Geometry Level pending

$\large{{{\left( \sqrt[4]{17-12\sqrt{2}} \right)}^{\sqrt{\sin 2x}+\frac{1}{\sqrt{\sin 2x}}}}+{{\left( \sqrt[4]{17+12\sqrt{2}} \right)}^{\sqrt{\sin 2x}+\frac{1}{\sqrt{\sin 2x}}}}=6}$

Find real number $$x$$ satisfying the equation above.

×