Complex Numbers And Quadratic Equations question 715

Question: The roots of the equation $ ix^{2}-4x-4i=0 $ are

Options:

A) $ -2i $

B) $ 2i $

C) $ -2i,-2i $

D) $ 2i,2i $

Show Answer

Answer:

Correct Answer: C

Solution:

We have $ ix^{2}-4x-4i=0 $
Þ $ x^{2}+4ix-4=0 $ Þ $ x^{2}+2ix+2ix-4=0 $
Þ $ (x+2i)(x+2i)=0 $ Þ $ x=-2i,-2i $ .