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The three equations: x + y +z = 3, x^(3) + y^(3) + z^(3) = 15 and x^(4) + y^(4) + z^(4) = 35 has a real solution x,y,z for which x^(2) + y^(2) + z^(2) lt 10. Find the value of (x^(5) + y^(5) + z^(5)) |
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