Determine the value of (x^4 + y^4 + z^4), given that x, y, and z are real numbers satisfying the following two conditions:
x + y + z = 0
x^2 + y^2 + z^2 = 1
Determine the value of (x^4 + y^4 + z^4), given that x, y, and z are real numbers satisfying the following two conditions:
x + y + z = 0
x^2 + y^2 + z^2 = 1
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