Which Statements Are True?

Calculus Level 3

Of the four statements below, which are true?

I. The equation x43x+1=0x^4 -3x+ 1 = 0 has a unique real solution.
II. The equation sinx=x\sin x = x has a unique real solution.
III. The equation 3x520x3+60x+16=03x^5 - 20x^3 + 60x +16=0 has a unique real solution.
IV. The equation tanx=x\tan x = x has a unique real solution.

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