# 5th degree Equation

Algebra Level 5

$\large x^5 +5 \lambda x^4-x^3 +(\lambda \alpha-4)x^2-(8\lambda +3)x+\lambda \alpha -2=0$

Consider the equation above, what is the value of $$\large{\alpha}$$ for which the equation has two roots independent of $$\lambda$$?

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