Let . Find the value of…

MATHEMATICS · Subjective · CBSE · Mathematics · Complex Numbers and Quadratic Equations · Complex Numbers and Quadratic Equations

Problem

Let A={a∈R∣the equation (1+2i)x3−2(3+i)x2+(5−4i)x+2a2=0 has at least one real root}A = \{a \in \mathbb{R} \mid \text{the equation } (1+2i)x^3 - 2(3+i)x^2 + (5-4i)x + 2a^2 = 0 \text{ has at least one real root}\} . Find the value of ∑a∈Aa2\sum_{a \in A} a^2 .

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