Let be positive real numbers satisfying

MATHEMATICS · Subjective · AoPS · Mathematics · Functions · Functions

Problem

Let x,y,zx, y, z be positive real numbers satisfying, x2+y2+xy=25,y2+z2+yz=49,z2+x2+zx=64. then find the values of (x+y+z)2−100…x^2 + y^2 + xy = 25, \quad y^2 + z^2 + yz = 49, \quad z^2 + x^2 + zx = 64. \text{ then find the values of } (x+y+z)^2 - 100 \dots

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