An algebra problem by Madhavan V

Algebra Level 3

Let x1,x2x_1,x_2 be the roots of the quadratic equation x2+ax+b=0,x^2+ax+b=0, where aa and bb are complex numbers, and y1,y2y_1,y_2 are the roots of the equation y2+ay+b=0y^2+| a |y+| b|=0 .

If x1=x2=1,| x_1 |=| x_2 |=1, what is y1+y2=? | y_1|+| y_2 |= ?


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

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