Complex Numbers And Quadratic Equations question 733

Question: If the product of the roots of the equation $ 2x^{2}+6x+ $ $ {{\alpha }^{2}}+1=0 $ is $ -\alpha $ , then the value of $ \alpha $ will be

Options:

A) -1

B) 1

C) 2

D) -2

Show Answer

Answer:

Correct Answer: A

Solution:

According to condition $ \frac{{{\alpha }^{2}}+1}{2}=-\alpha $
Þ $ {{\alpha }^{2}}+2\alpha +1=0\Rightarrow \alpha =-1,-1 $ .