## Algebra: A Combined Approach (4th Edition)

$\bf{\text{Solution Outline:}}$ To solve the given equation, $\sqrt{2x}+10=4 ,$ isolate the radical expression. Then analyze the resulting equation. $\bf{\text{Solution Details:}}$ Using the properties of equality to isolate the radical expression results to \begin{array}{l}\require{cancel} \sqrt{2x}=4-10 \\\\ \sqrt{2x}=-6 .\end{array} For any real number $x,$ the expression at the left side always gives a positive number since the symbol $\sqrt{}$ refers to the principal or positive root. This will never be equal to the negative expression at the right. Hence, there is $\text{ no solution .}$