Find the number of real roots of the equation $$\frac2\pi\arccos x=\sqrt{1-x^2}+1.$$
Problem
Source: Ukraine 1998 Grade 11 P5
Tags: algebra, equation, equations, trigonometry, trigonometric function
Source: Ukraine 1998 Grade 11 P5
Tags: algebra, equation, equations, trigonometry, trigonometric function
Find the number of real roots of the equation $$\frac2\pi\arccos x=\sqrt{1-x^2}+1.$$