Question 95
Find the integer solutions of the equation
$$
\left( \frac{1 + \sqrt{1 - x^2}}{2} \right)^{\sqrt{1-x}} = (\sqrt{1-x})^{\sqrt{1-x}+\sqrt{1+x}}.
$$
$$
\left( \frac{1 + \sqrt{1 - x^2}}{2} \right)^{\sqrt{1-x}} = (\sqrt{1-x})^{\sqrt{1-x}+\sqrt{1+x}}.
$$