\( \sqrt{(x-2)^{2}}=3 \)
Added by Juana N.
Close
Step 1
Therefore, we can simplify the equation by removing the square root and the square. \[ \sqrt{(x-2)^{2}} = 3 \] This simplifies to: \[ |x-2| = 3 \] Show more…
Show all steps
Your feedback will help us improve your experience
Aman Gupta and 80 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
$\sqrt{x-2}=3$
Roots, Radicals, and Root Functions
Solving Equations with Radicals
Solve equation by the square root property. $$ (3 x+2)^{2}=9 $$
Equations and Inequalities
Quadratic Equations
Solve. $$ x \sqrt{3}=2 $$
Radical Expressions and Equations
Solving Radical Equations
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD