Complex Numbers And Quadratic Equations question 551
Question: If the roots of the equation $ x^{2}+2mx+m^{2}-2m+6=0 $ are same, then the value of m will be [MP PET 1986]
Options:
A) 3
B) 0
C) 2
D) -1
Show Answer
Answer:
Correct Answer: A
Solution:
Let roots are $ \alpha $ and $ \alpha $ , then $ \alpha +\alpha =-2m\Rightarrow \alpha =-m $ and $ \alpha .\alpha =m^{2}-2m+6 $
Þ $ m^{2}=m^{2}-2m+6 $
Þ $ m=3 $ .
BETA
