Given positive real numbers x, y, and z that satisfy the following system of equations:

x² + xy + y² = 9,

y² + yz + z² = 4,

z² + zx + x² = 1,

Find x + y + z

+2 votes

Given positive real numbers x, y, and z that satisfy the following system of equations:

x² + xy + y² = 9,

y² + yz + z² = 4,

z² + zx + x² = 1,

Find x + y + z

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