If \( z_{1}, z_{2}, z_{3} \) are the vertices of the \( \triangle A B C \) on the complex plane ... VIDEO
If \( z_{1}, z_{2}, z_{3} \) are the vertices of the \( \triangle A B C \) on the complex plane which are also the roots of the equation, \( z^{3}-3 \alpha z^{2}+3 \beta z+x=0 \), then prove that \( \alpha^{2}=\beta \) is the condition for the \( \triangle A B C \) to be equilateral triangle.https://bit.ly/YTAI_PWAP https://www.pw.live
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