Do you know its property?

Algebra Level 3

If x3,x,x2x^3, x, x^2 form an arithmetic progression (in the given order), find the sum of all possible values of xx.

Clarification: An arithmetic progression is allowed to be a constant sequence.

In the answer options, ϕ=1+52 \phi = \frac{ 1 + \sqrt{5} } { 2} (the golden ratio).

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