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} $