Complex Numbers And Quadratic Equations question 713
Question: The roots of the equation $ a(x^{2}+1)-(a^{2}+1)x=0 $ are
Options:
A) $ a,\frac{1}{a} $
B) a, 2a
C) $ a,\frac{1}{2a} $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
Equation $ a(x^{2}+1)-(a^{2}+1)x=0 $
Þ $ ax^{2}-(a^{2}+1)x+a=0 $
Þ $ (ax-1)(x-a)=0 $
Þ $ x=a,\frac{1}{a} $ .
BETA
