Question

If the coefficient of $x^2$ and the constant term have the same sign and if the coefficient of $x$ term is zero, then the quadratic equation has :

• A. no real roots
• B. one real root
• C. one real and one imaginary roots
• D. two real roots

Answer 1

The correct option is A no real roots

For
$a{x}^2+bx+c=0$ if b is zero and $a,c<0$ or $a,c>0$
Then
$a{x}^2=-c$

Discriminant $D=b^2-4ac=-4ac<0$

$\Rightarrow D<0$
Hence, the quadratic equation will not have any real roots.