contestada

Solve for x. one fifth times the absolute value of the quantity x minus 4 end quantity minus 3 equals 6 x = −49 and x = 41 x = −41 and x = 49 x = −19 and x = 11 x = −11 and x = 19

Respuesta :

The solutions of the absolute value equation are given by:

x = -41 and x = 49.

What is the absolute value function?

The absolute value function is defined by:

  • |x| = x, x >= 0.
  • |x| = -x, x < 0.

The absolute value function measures the distance of a point x to the origin, that is, the distance to x = 0. From this, we get that |x| = a can mean either that:

  • x = a, or;
  • x = -a.

In this problem, the equation is given by:

[tex]\frac{1}{5}|x - 4| - 3 = 6[/tex]

Hence:

0.2|x - 4| = 9

|x - 4| = 45

The first possible solution is:

x - 4 = 45

x = 49.

The second possible solution is:

-x + 4 = 45

-x = 41

x = -41.

Hence the solutions are x = -41 and x = 49.

More can be learned about the absolute value function at brainly.com/question/24734454

#SPJ1

Otras preguntas