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VTMO 2014 — Grade 8 — final Question 1

VTMO · VTMO 2014 — Grade 8 — final

Question 1

$a + b + c = 0 , x + y + z = 0 , \frac{x}{a} + \frac{y}{b} + \frac{z}{c} = 0$. Find $A = a^{2} x + b^{2} y + c^{2} z$.