Question

If $6$ is one solution of $x^2-22x+d=0$ what could be the value of $d$?

• A. $36$
• B. $48$
• C. $72$
• D. $96$
• E. $108$

Answer 1

The correct option is D $96$

Given, $x^2-22x+d=0$

Also given $6$ is one root of the equation.

Let the other root be $a$.

• We have $a+6=22$, which implies $a=16$

Product of roots is $d=16\times 6=96$.