Chapter 3.5, Problem 39AYU

To determine

To show:

The inequality equation ${\left(x-4\right)}^2\le 0$ has exactly one solution.

Explanation of Solution

Given Information:

  ${\left(x-4\right)}^2\le 0$

Proof:

The given equation is:

  $\begin{array}{l}{\left(x-4\right)}^2\le 0\\ \left(x-4\right)\left(x-4\right)\le 0\\ x=4\end{array}$

So, the given equation contains exactly one solution.

Hence, proved.