If , , and , the value of…

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

Problem

If

z_1, z_2 \in \mathbb{C}

,

z_1^2 + z_2^2 \in \mathbb{R}

,

z_1(z_1^2 - 3z_2^2) = 2

and

z_2(3z_1^2 - z_2^2) = 11

, the value of

z_1^2 + z_2^2

is

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