Question

Solve the equation sqrt x+3+4 =5 for the variable. Show each step of your solution process.

Answer 1

$Domain:\\x+3\geq0\to x\geq-3\\\\\sqrt{x+3}+4=5\ \ \ \ |-4\\\\\sqrt{x+3}=1\ \ \ |^2\\\\(\sqrt{x+3})^2=\pm1^2\\\\x+3=\pm1\ \ \ \ |-3\\\\x=-4\notin D\ \vee\ x=-2\in D\\\\Answer:\ \boxed{x=-2}$