Represent constraints and systems, then interpret viable and non-viable solutions in modeling contexts.
Write a radical constraint for a physical or geometry context
Problem
Distance is \(\sqrt{x^2~+~16}\) and must be at most \(10\). Write the radical constraint.
Big Picture
What this problem is really about
Keep the modeled distance in radical form and translate “at most” as an inclusive upper bound. Before adding a domain condition, inspect the radicand itself: a square is never negative, and adding a positive constant keeps the radical defined for every real input. Do not impose a nonnegative input restriction unless the context actually requires one.
Inside Gozunta
Turn the preview into practice.
More than a preview
Gozunta lets you study this problem—and more than 10,000 others.
Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.
