Determine the value of xxx for which x+x2+13+x−x2+13=2\sqrt[3]{x+\sqrt{x^2+1}} + \sqrt[3]{x-\sqrt{x^2+1}} = 23x+x2+1+3x−x2+1=2 is false, given the identity.
x=0x = 0x=0
x=1x = 1x=1
x=3x = \sqrt{3}x=3
x=33x = 3\sqrt{3}x=33