$\lceil$ DRIVE!S.O.S $\rfloor$
$$\left | x \right |< 1,\,\alpha = 1- \frac{3}{\sqrt[3\,]{\sqrt{2}- 1}}+ 3\sqrt[3\,]{\sqrt{2}- 1}\\ \therefore\,x+ \frac{(\,1- x\,)^{\,2}}{\sqrt{1- x^{\,2}}}+ \alpha= \sqrt{\frac{1- x}{1+ x}}\,(\,\sqrt{1- x}- \sqrt[3\,]{\alpha }\times \sqrt{1+ x}\,)^{\,2}+ \frac{\sqrt[3\,]{\alpha }}{2}\,(\,\sqrt{1- x}- \sqrt[3\,]{\alpha }\times \sqrt{1+ x}\,)^{\,2}$$