Question

If $a,c\in N$ and both the roots of the equation $a{x}^2-5x+c=0$ are real, then both roots must be

• A. Negative
• B. Positive
• C. Opposite in sign
• D. Data in sufficient

Answer 1

The correct option is B Positive

$a{x}^2-5x+c=0,a,c\in N$
Sum of roots
$=\frac{5}{a}>0(\because a\in N)$
Product of roots
$=\frac{c}{a}>0(\because a,c\in N)$

So, both the roots have to be positve.