Question

Ratio of the sum of the roots of $x^2-9x+18=0$ to the product of the roots is:

• A. $1:2$
• B. $2:1$
• C. $-1:2$
• D. $-2:1$

Answer 1

Answer: (A)

$1:2$

We know that equation $a{x}^2+bx+c=0$

Then sum of roots $=\frac{-b}{a}$ and product of roots$=\frac{c}{a}$

Given equation is $x^2-9x+19=0$

Sum of roots $=9$
Product of the roots $=18$
Therefore, the ratio of sum of roots to the product of roots is $9:18$ i,e., $1:2$.