Sketch the curve \(y = \sqrt{1 - x} + \sqrt{3 + x}\). Use your sketch to show that only one real value of \(x\) satisfies \[\sqrt{1 - x} + \sqrt{3 + x} = x + 1,\] and give this value.

Determine graphically the number of real values of \(x\) that satisfy \[2\sqrt{1 - x} = \sqrt{3 + x} + \sqrt{3 - x}.\] Solve this equation.