Question

How to solve square root of (x + 4) + square root of (1-x) = 3?

Answer 1

1) Think on the Domain
2) Isolate and Square

\(\sqrt{x+4}\) requires \(x \ge -4\)

\(\sqrt{1-x}\) requires \(x \le 1\)

Thus \(x\in [-4,1]\)

That's #1. Here's "Isolate".

\(\sqrt{x+4} = 3 - \sqrt{1-x}\)

Okay, you do the rest.

Answer 2

Thanks!