Question

if -2 is a root of the quadratic equation 3x^2-5x+k=0, then find k

Answer 1

$\tt If\:a\:is\:the\:root\:of\:a\: quadratic\: equation \\ \tt then\:it\: satisfies\:the\:equation \\ \\ \tt \therefore 3({-2})^{2} - 5(-2) + k = 0 \\ \\ \tt \therefore 12 + 10 + k = 0 \\ \\ \tt \therefore \boxed{\bold{\underline{\red{\tt k = - 22 }}}}$

Answer 2

$\huge\fbox \red{✔AN} {\colorbox{crimson}{SW}}\fbox\red{ER✔}$

If a is the root of a quadratic equation then it satisfies the equation

=> 3(-2)² - 5(-2) + k = 0

=> 12+10+ k = 0

=> k = -22

• I Hope it's Helpful My Friend.