Domain Restrictions
\[ \sqrt{(x+3)^2} = \sqrt{3x+49} \]
What is the smaller solution to the given equation?
First off, note that just entering the given equation into Desmos can give you the answer!
See how there are vertical lines through \(-8\) and \(5\)? That tells you the answer is \(-8\). With regression analysis, we need to be careful:
While 5 is a solution to the given equation, that is not the answer we want for this particular question. We need to put a restriction on \(x_1\) to have regression find the answer:
Keep testing values of \(x_1\) until you see \(RMSE = 0\).