X^2-8x-9=0 solve by completing the square

(x-9)(x+1), so x=9 and x=-1

Step-by-step explanation:

X^2-8x-9=0

-9 times 1 = -9 and -9 plus 1 = -8

So (x-9)(x+1)

X=9, x=-1

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

or