Question

If the sum of the zeroes of the quadratic polynomial kx²+2x-3k is equal to twice their product,find the value of k

Answer 1

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.

Answer 2

Answer:

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