Problem # 2: Solve and check the equation. $\sqrt{x+5}=1+\sqrt{x}$ (6 points)
Added by Zachary L.
Close
Step 1
To solve for $x$, we first square both sides of the equation: $(\sqrt{x+5})^2 = (1+\sqrt{x})^2$ $x+5 = 1 + 2\sqrt{x} + x$ Show more…
Show all steps
Your feedback will help us improve your experience
Charles Carter and 86 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 and check. $$\sqrt{x+5}=\sqrt{x}+1$$
Radical Expressions
Solving Equations Containing Radical Expressions
Identify as an equation or expression. Solve each equation; check the answer(s). Simplify each expression. $$ 5 \sqrt{x-8}=\sqrt{x+4}+6 $$
Radical Functions
Solving Radical Equations
Solve each equation. Check the solutions. $4 x=\sqrt{6 x+1}$
Quadratic Equations, Inequalities, and Functions
Equations That Lead to Quadratic Methods
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD