# $$\alpha$$ and $$\beta$$

Level pending

The two roots of the quadratic equation $$x^2+4x+1=0$$ are $$\alpha$$ and $$\beta$$. If $$f(x)=0$$ is a quadratic equation for $$x$$ that has two roots $$2\alpha+\beta$$ and $$\alpha+2\beta$$, what is the value of $$f(1)$$?

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