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Let x(1),x(2) are the roots of the quadr...

Let `x_(1),x_(2)` are the roots of the quadratic equation `x^(2) + ax + b=0`, where a,b, are complex numbers and `y_(1), y_(2)` are the roots of the quadratic equation `y^(2) + |a|yy+ |b| = 0`. If `|x_(1)| = |x_(2)|=1`, then prove that `|y_(1)| = |y_(2)| =1`

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