Chapter 11.10, Problem 40WE

To determine

To find: The solution for the given equation.

Answer to Problem 40WE

The solution of the given equation is $x=0$ .

Explanation of Solution

Given:

The given equation is $\sqrt{x^2+9}=3-x$ .

Calculation:

Consider the given equation is,

  $\sqrt{x^2+9}=3-x$

Then, the solution is,

  $\begin{array}{l}\sqrt{x^2+9}=3-x\\ x^2+9={\left(3-x\right)}^2\\ x^2+9=9-6x+x^2\\ 6x=0\end{array}$

Solve further as,

  $x=0$