Intermediate Algebra (12th Edition)

$\bf{\text{Solution Outline:}}$ To solve the given radical equation, $\sqrt{4r+3}+1=0 ,$ use the properties of equality to isolate the radical expression. Then ensure that the other side of the equation is a non negative number. $\bf{\text{Solution Details:}}$ Using the properties of equality, the given equation is equivalent to \begin{array}{l}\require{cancel} \sqrt{4r+3}=-1 .\end{array} The left side of the equation is always a non negative number. This will never be equal to the negative number at the right. Hence, there is $\text{ no solution .}$