# An algebra problem by Madhavan V

Algebra Level pending

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

If $$| x_1 |=| x_2 |=1,$$ what is $$| y_1|+| y_2 |= ?$$


Note: $$| \cdot |$$ denotes the absolute value function.

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