Question

SAT help ? In the equation, K and m are constants . If the equation is true for all values of x, what is the value of m?

Answer 1

\[(x-8)(x+k) = x^{2} - 5kx +m \]

Answer 2

hint : 8, -k are the roots of quadratic

Answer 3

?

Answer 4

(x-8)(x+k)
multiply this out, what do u get ?

Answer 5

(x-8)(x+k)=x^2+(k-8)x-8k = x^2-5kx+m
so
k-8=5k<------get k from here
and put it in
m=-8k

Answer 6

*k-8=-5k