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

simplify the left side:
x^2 - kx - 8x + 8k = x^2 - (k+8)x + 8k

Answer 3

x^2 - (k+8)x + 8k = x^2 - 5kx + m

Answer 4

thus you know that k+8 = 5k

Answer 5

and 8k = m

Answer 6

just what bahrom said

Answer 7

Now just solve for both.

Answer 8

bahrom mate can ya help me out with a sum of my own??

Answer 9

@bahrom7893

Answer 10

@robinfr93 let me see the question

Answer 11

@bahrom7893 What does it mean by true for all values of x?

Answer 12

I don't see how you got k+8 = 5k Where did everything else go?

Answer 13

it just means equate the two equations.

Answer 14

I'm equating the coefficients:
x^2 - (k+8)x + 8k = x^2 - 5kx + m