Question

solve: square root of x+5 = square root of (x) +1

Answer 1

This? \(\sqrt{x+5} = \sqrt{x} + 1\)

ABSOLUTELY, POSITIVELY the first thing to do is consider the Domain.

\(\sqrt{x}\) insists that \(x \ge 0\)

\(\sqrt{x+5}\) insists that \(x \ge -5\)

After WRITING DOWN \(x \ge 0\), since one radical is already isolated, simply square both sides.

Answer 2

thank you so much!