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Omni-MATH / Assume the quartic x⁴−ax³+bx²−ax+d=0 has four real roots (1)/(2)≤x₁,x₂,x₃,x₄≤2. Find the maximum possible value of ((x₁+x₂)(x₁+x₃)x₄)/((x₄+x₂)(x₄+x₃)x₁) (over all valid choices of … · Discussion

Discussing Assume the quartic x⁴−ax³+bx²−ax+d=0 has four real roots (1)/(2)≤x₁,x₂,x₃,x₄≤2. Find the maximum possible value of ((x₁+x₂)(x₁+x₃)x₄)/((x₄+x₂)(x₄+x₃)x₁) (over all valid choices of … · Omni-MATH

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