Question

Find the value of $t$, if the product of roots of the equation is $8$.
$18x^2+9x-t=0$

• A. $144$
• B. $-144$
• C. $72$
• D. $-72$

Answer 1

Answer: (B)

$-144$

In the quadratic equation $a{x}^2+bx+c=0$,

product of roots$=\frac{c}{a}$

So, in the equation $18x^2+9x-t=0$,

product of roots$=\frac{-t}{18}$

$\therefore 8=\frac{-t}{18}$

$\therefore t=-144$

Answer is option (B)