Complex Numbers And Quadratic Equations question 692

Question: If then

Options:

A) $ y=6 $

B) $ y=5 $

C) $ y=\sqrt{6} $

D) $ y=\sqrt{5} $

Show Answer

Answer:

Correct Answer: D

Solution:

$ \Rightarrow (y-2)(y+2)=1\Rightarrow y^{2}-4=1\Rightarrow y^{2}=5 $
$ \therefore y=\pm \sqrt{5}sincey>0\therefore y=\sqrt{5} $