Question

For the quadratic equation $a{x}^2+bx+c=0$, if $b^2-4ac>0$ and $a,c$ have same sign, then which of the following is true?
$(a,b,c\in R,a\ne 0)$

• A. Roots are always negative
• B. Roots are always positive
• C. Roots are of same sign
• D. Roots are of opposite sign

Answer 1

The correct option is C Roots are of same sign

$a{x}^2+bx+c=0$
Since, $a,c$ have same sign.
Product of roots
$=\frac{c}{a}>0$
$\Rightarrow$ Roots are of same sign.