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Determine ft and solve the equation 2x^3 – 6x^2 + 3x + k = 0 if one of its roots is twice the sum of the other two roots.

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Determine ft and solve the equation 2x3 – 6x2 + 3x + k = 0 if one of its roots is twice the sum of the other two roots.

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The given equation is 2x3 – 6x2 + 3x + k = 0

αβγ = -k/2

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