Question

Let $a,b,c\in R$ such that $4a+2b+c=0$ and $ab>0$.
Then the equation $a{x}^2+bx+c=0$ has

• A. Complex root
• B. Exactly one root
• C. Real roots
• D. None of the above

Answer 1

The correct option is C Real roots

$ab>0a,b,c\in Rf\left(x\right)={ax}^2+bx+cf\left(2\right)=4a+2b+c=0\therefore x=2isarootoff\left(x\right)\therefore f\left(x\right)hasrealroots$