Help with polynomial problem, please – math.stackexchange.com

Help with polynomial problem, please – math.stackexchange.com

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I am stuck on this question $5.$ If the equation $$x^4-ax^3+2x^2-bx+1=0$$ has a real root, show that $$a^2 + b^2 \geq8$$ Can i have a hint to go ?

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