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## Homework Statement

Factor the equation (without complex numbers)

[tex]

a^{10} + a^{5} + 1

[/tex]

This is a olympiad question

## The Attempt at a Solution

I substituted [tex]a^{5} = x[/tex] getting a quadratic eqation. But when I factored the quadratic equation I get complex roots and this is against the question.

Please help!