Question
Solve the equation. Check for extraneous solutions.$$\sqrt{x}-3=4$$
Step 1
We can do this by adding 3 to both sides of the equation: $$ \sqrt{x}-3+3=4+3 $$ which simplifies to: $$ \sqrt{x}=7 $$ Show more…
Show all steps
Your feedback will help us improve your experience
Charles Carter and 87 other Algebra 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
Solve the equation. Check for extraneous solutions. $$ \sqrt{4 x}-1=3 $$
Radicals and More Connections to Geometry
Solving Radical Equations
Solve each equation and check for extraneous solutions. $$\sqrt{3 x}-\sqrt{x-2}=4$$
Radicals and Rational Exponents
Solving Equations with Radicals and Exponents
Solve the equation. Check for extraneous solutions. $$ x=\sqrt{2 x+3} $$
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD