Question

it is given that 2 is one of the roots of the quadratic equation x^2-5x+k=0. find the value of k.

Answer 1

(x - 2)(x + ?) = x^2 - 5x + k

Answer 2

-2*? = k

Answer 3

\[x^2-5x+k=0\]now since 2 is one of the root so if we substitute x=2 in the equation the equation should be equal to 0 because 2 is a factor of it
\[(2)^2-5*2+k=0\]\[4-10+k=0\]\[k=6\]

Answer 4

thank you ^^

Answer 5

my pleasure !