When you thought the plagiarism has ended.

Algebra Level pending

I don't create this problem. All of the credits go to Trần Văn Tấn, Nguyễn Thị Thanh Thuỷ and Phạm Minh Phương for writing this problem, and the book in general.

The original problem is:

Solve the following equation:

x 3 + x 3 ( x − 1 ) 3 + 3 x 2 x − 1 − 2 = 0 \large x^3 + \dfrac{x^3}{(x - 1)^3} + \dfrac{3x^2}{x - 1} - 2 = 0

How many real solutions are there?

4 3 7 2 1 0 5 6

Thành Đạt Lê by Thành Đạt Lê , 17, Singapore

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