100 POINTS AND BRAINIEST! Given that f(x) = 0.25x^2 - 0.125x - 12.25 has a root at x = -6.75, use the axis of symmetry to find the other root of the function.

Step-by-step explanation:

x = 54/97 = 0.557

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "6.75" was replaced by "(675/100)". 3 more similar replacement(s)

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

          (125/1000)*x-(1225/100)*x-(-(675/100))=0

Final result :

 2x2 - x - 98

 ————————————

      8      

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "12.25" was replaced by "(1225/100)". 3 more similar replacement(s)

Step by step solution :

Step  1  :

           49

Simplify   ——

           4

Equation at the end of step  1  :

    25         125     49

 ((———•(x2))-(————•x))-——

   100        1000     4

Step  2  :

           1

Simplify   —

           8

Equation at the end of step  2  :

    25        1     49

 ((———•(x2))-(—•x))-——

   100        8     4

Step  3  :

           1

Simplify   —

           4

Equation at the end of step  3  :

   1          x     49

 ((— • x2) -  —) -  ——

   4          8     4

Step  4  :

Equation at the end of step  4  :

  x2    x     49

 (—— -  —) -  ——

  4     8     4

Step  5  :

Calculating the Least Common Multiple :

5.1    Find the Least Common Multiple

     The left denominator is :       4

     The right denominator is :       8