# Bashing unavailable - part 1

Algebra Level 4

Given that $\color{Green}{a+b+c =1} \\ \color{Blue}{a^2+b^2+c^2=2} \\ \color{Red}{a^3+b^3+c^3=3}.$ If $$a^4+b^4+c^4= \frac{a_1}{a_2}$$ where $$a_1$$, $$a_2$$ are positive coprime integers, then find $$a_1+a_2$$.

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