An algebra problem by Madhavan V

Algebra Level pending

Let \(x_1,x_2\) be roots of quadratic equation \(x^2+ax+b=0\) where a and b are complex numbers and \(y_1,y_2\) are roots of equation \(y^2+| a |y+| b|=0 \).

If \(| x_1 |=| x_2 |=1, | y_1|+| y_2 |= ? \)

Note: | . .| sign here denotes absolute value of the number

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