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α, β are zeros of the quadratic polynomial then sum and product of whose zeroes are -1/4 and 1/4 respectively.
 ∴   α + β = -1/4   αβ = 1/4
α, β are zeros of the quadratic polynomial then the equation is x2 -(α + β)x + αβ = 0
x2 -(-1/4)x + 1/4 = 0 

⇒ 4x2 + x + 1 = 0

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