Of the four statements below, which are true?

**I.** The equation \(x^4 -3x+ 1 = 0\) has a unique real solution.

**II.** The equation \(\sin x = x\) has a unique real solution.

**III.** The equation \(3x^5 - 20x^3 + 60x +16=0\) has a unique real solution.

**IV.** The equation \(\tan x = x\) has a unique real solution.

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