Question

Given the equation 2 square root x minus 5 equals 2, solve for x and identify if it is an extraneous solution.

Answer 1

`\text{The domain}\\x-5\geq0\to x\geq5\\D:x\geq5\\\\2√(x-5)=2\ \ \ |:2\\√(x-5)=1\ \ \ |\text{square both sides}\\x-5=1^2\ \ \ \ |+5\\x=6\in D`