Russian Olympiad Mathematics | The three solutions

[@andresrebolledobanquet1924]

Using the method de Derivates parcial.
x^3 + x^2 = 2
F(x) x^3 = 3x^2
3x^2 + x^2 = 4x^2
F'(x)4x^2 = 8x
8x = 2
x = 2/ 8
x = 0.25
We demostrate.
0.25*3*2 + 0.25*2 = 2
1.5 + 0.5 = 2
2= 2

[@dhandapaniduraisami1166]

X=1

[@King_of_Antisemites]

I dunno, my answer when seeing it first is 1