Math Olympiad | A Nice Algebra Problem | What is the values of "k" in this problem ? 

Great explanation of a very involved problem

Regarding the substitution 10=8+2. So, basically, if you already know the answer you can get the answer. Brilliant.

k^3 + k - 10 = 0 (k - 2)(k^2 + 2k + 5) = 0 k = 2, -1 +/- 2i

Guessing the answer with extra steps.

k = 2

K=2，K*K*K+K=2*2*2+2=10

K= couple

2*2*2+2=8+2=10 That is K=2

2

2. Это не олимпиадная задача 😂

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К=2

Комплексные корни в данном уравнении не интересны.

K=2