Explain why the following four statements ask for the same information: i) Find the roots of (x) = x 3 - 3x - 1. ii)

Explain why the following four statements ask for the same information:

i) Find the roots of ƒ(x) = x³ - 3x - 1.

ii) Find the x-coordinates of the intersections of the curve y = x³ with the line y = 3x + 1.

iii) Find the x-coordinates of the points where the curve y = x³ - 3x crosses the horizontal line y = 1.

iv) Find the values of x where the derivative of g(x) = (1/4)x⁴ - (3/2)x² - x + 5 equals zero.