An algebra problem by Madhavan V
Algebra
Level
3
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.
by
Madhavan V