Solve by finding square roots
4 (x-1)^2=96

2√6 + 1

Step-by-step explanation:

Given expression:

           4(x-1)²  = 96

Solving by square root;

  Square root both sides;

            = √96

           √4(x-1)²  = √6x16

          √4(x-1)²  = 4√6

           2(x-1) = 4√6

 Divide both sides by 2;

            x-1  = 2√6

  Add 1 to both sides;

            x  = 2√6 + 1

reduce the friction between its moving parts

step-by-step explanation:

in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.