A Pre-RMO question! -4

Algebra Level 1

If 2s=a+b+c2s=a+b+c and (sa)2+(sb)2+(sc)2+s2=ax+bx+cx(s-a)^2+(s-b)^2+(s-c)^2+s^2=a^x+b^x+c^x for a real xx, find x2x^2.

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