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Omni-MATH / Let r₁,r₂,r₃,r₄ be the four roots of the polynomial x⁴−4x³+8x²−7x+3. Find the value of (r₁²)/(r₂²+r₃²+r₄²)+(r₂²)/(r₁²+r₃²+r₄²)+(r₃²)/(r₁²+r₂²+r₄²)+(r₄²)/(r₁²+r₂²+r₃²) · Discussion

Discussing Let r₁,r₂,r₃,r₄ be the four roots of the polynomial x⁴−4x³+8x²−7x+3. Find the value of (r₁²)/(r₂²+r₃²+r₄²)+(r₂²)/(r₁²+r₃²+r₄²)+(r₃²)/(r₁²+r₂²+r₄²)+(r₄²)/(r₁²+r₂²+r₃²) · Omni-MATH

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