Given \( \alpha \) and \( \beta \) are the roots of the quadratic equation \( x^{2}-4 x+k=0(k \n....

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Given \( \alpha \) and \( \beta \) are the roots of the quadratic equation
\( \mathrm{P} \)
\( x^{2}-4 x+k=0(k \neq 0) \). If \( \alpha \beta, \alpha \beta^{2}+\alpha^{2} \beta, \alpha^{3}+\beta^{3} \) are in geometric progression, then the value of \( 7 \mathrm{k} \) equals
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