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Sol : α, β are zeros of the quadratic polynomial then sum and product of whose zeroes are 0 and √5 respectively. ∴ α + β = 0 αβ = √5. α, β are zeros of the quadratic polynomial then the equation is x2 -(α + β)x + αβ = 0 x2 -0x + √5 = 0 ⇒ x2 + √5 = 0
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