sayychrchernev
sayychrchernev sayychrchernev
  • 24-07-2016
  • Mathematics
contestada

(x-8)(x-k) = x^2 - 5kx +m. In the equation above, k and m are constants. If the equation is true for all values of x, what is the value of m?

Respuesta :

konrad509
konrad509 konrad509
  • 24-07-2016
[tex](x-8)(x-k) = x^2 - 5kx +m\\ x^2-kx-8x+8k=x^2 - 5kx +m\\ x^2-(k+8)x+8k=x^2 - 5kx +m\\\\ -(k+8)=-5k\\8k=m\\\\ -(k+8)=-5k\\ -k-8=-5k\\ 4k=8\\ k=2\\\\ m=8\cdot2\\ \boxed{m=16} [/tex]
Answer Link

Otras preguntas

Find the constant of proportionality of x/y: (2,3) (3, 4.5) (4,6) (5,7.5)
Simplify 7(x + 2) + 12. 7x + 14 7x + 21 7x + 26
A ballet teacher wants to divide his square classroom in half diagonally with masking tape. How much tape will he need if the side length of the classroom is
The circle below is centered at the point (5 3 ) and has a radius of length 4 what is its equation
According to the law of supply and demand if strawberries become scarce due to a drought in berry producing regions what happens to the price of strawberries
Shameka is tossing acorns into a hole. She started with 800 acorns in the hole. On average, she gets 75 acorns per hour in the hole. Write an equation that repr
ratio equivalent to 2/7
el etopeya de Jesús porfiss es para hoy
If I do my homework then it would snow
What evidence did mendel find that supported his law of independent assortment?