# Classical Inequalities addicts can do this. Part 4

Algebra Level 4

$\large \frac{a^2 + b^2 + c^2 + d^2}{ab + 4bc + cd}$

For $$a, b, c, d > 0$$, let $$\alpha$$ be the minimum value of the expression above. Evaluate: $$\dfrac{(\alpha + 4)^6}{64}$$ .

For more problems like this, try answering this set.

×