Complex Numbers And Quadratic Equations question 572
Question: If one root of the quadratic equation, $ ix^{2}-2(i+1)x+(2-i)=0 $ is $ 2-i $ , then the other root is
Options:
A) - i
B) i
C) $ 2+i $
D) $ 2-i $
Show Answer
Answer:
Correct Answer: A
Solution:
Let $ \alpha $ be the other root, then product of the roots $ \alpha .(2-i)=\frac{(2-i)}{i}\Rightarrow \alpha =-i $ .