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Sum of all non-negative real roots: $ 0 + 4 + 9 = 13 $.
So $ x = 0 $ and $ x = 2 $. The region is symmetric about the y-axis, so total area is twice the area from 0 to 2:
Question: A sustainable agriculture researcher is analyzing a quadratic model of crop yield $ f(x) $ satisfying $ f(a + b) + f(a - b) = 2f(a) + 2f(b) $ for all real numbers $ a, b $. Assuming $ f(1) = 3 $, find $ f(5) $.
So quadratic functions satisfy the equation. Now use $ f(1) = 3 $:
Question: Let $ a $ and $ b $ be real numbers such that $
$$Question: Let $a$ and $b$ be complex numbers such that
e 0$. Then $a = zb$, and substituting into the equation gives: