# That's it

Algebra Level 4

$\large {a^3 = 3(a^2 +b^2) - 25\\ b^3 = 3(b^2 +c^2) - 25\\ c^3 = 3(c^2+a^2) - 25}$

If $$a, b, c$$ are positive reals that satisfy the above system of equations, find $$abc$$.

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