Question

Let us calculate and write the value of K for which 2/3 will be a root the quadratic equation x^2+3ax+k=0​

Answer 1

$\sf \large Given,$

$\sf \to x^{2}+3ax+k=0$

$\sf \to \frac{2}{3}\; is\;a\;root\;of\;the\;quadratic\;equation.$

$\sf \large So,$

$\sf \to (\frac{2}{3})^{2}+\cancel{3}a(\frac{2}{\cancel{3}})+k=0$

$\sf \to \frac{4}{9}+2a+k=0$

$\sf \to k=-\frac{4}{9}-2a$

$\sf \boxed{Inappropriate}$