Chapter ISG, Problem 3.8.6P

To determine

To calculate the given equation

Answer to Problem 3.8.6P

The set of solution for the given equation is,

{1}

Explanation of Solution

Given information:

The equation is,

  $\left|5-x\right|=x+3$

Formula used:

Equation solving.

Calculation:

Opening mod,

  $\pm (5-x)=x+3$

If $+(5-x)$ ,

  $5-x=x+3$

Shifting left-hand side to right hand side,

  $x+x=5-3$

So,

  $2x=2$

On solving,

  $x=1$

If $-(5-x)$ ,

  $-(5-x)=x+3$

Opening the brackets,

  $-5+x=x+3$

Shifting left-hand side to right hand side,

  $x-x=3+5$

This gives,

  $0=8$ , which is a false solution.

Hence the set of solution for the given equation is,

{1}