X2−25x+125=11 which equation reveals the solutions of the equation?

To find the equations that reveal the solution of the equation , we are going to set the equation equal to 0 and solve for :

Step 1. Subtract 11 to both sides of the equation



Step 2. Factor the left hand side of the equation



Step 3. Set each factor equal to zero and solve for 
and 
and 

We can conclude that the equations that reveal the solution of the equation   are and 

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

answer: the function g(x) has the greatest slope.