Question

The roots of the equation $a{x}^2+bx+c=0$ will be non real if

• A. $a>0,b=0,c<0$
• B. $a>0,b=0,c>0$
• C. $a=0,b>0,c>0$
• D. $a>0,b>0,c=0$

Answer 1

The correct option is B $a>0,b=0,c>0$

Since ${ax}^2+bx+c=0$ has real roots

$\therefore$ $D<0\Rightarrow b^2-4ac<0$

If b=0$\Rightarrow 4ac>0$

$\Rightarrow a>0,c>0$ or $a<0,c<0$