Question

solve for Y: sqrt(y) + sqrt(y-5) = 5

Answer 1

FIRST, think about the Domain.

\(\sqrt{y}\) DEMANDS that \(y \ge 0\)

\(\sqrt{y-5}\) DEMANDS that \(y \ge 5\)

Having said that, WRITE DOWN \(y \ge 5\), then isolate one radical and square both sides.

Answer 2

Thank you!