If the sum of the zeroes of the quadratic polynomial kx²+2x-3k is equal to twice their product,find the value of k
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Given quadratic polynomial f(t) = kt2 + 2t +3k
α,β are the roots of the quadratic polynomial then
α+β = -2/k and αβ = 3k/k
According to the condition α+β = αβ
-2/k = 3
∴ k = -2/3.
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