Math Problem Statement
ome Solve Square Root Equation √(x + 5) = 8 find x
Solution
To solve the equation:
Follow these steps:
- Square both sides to eliminate the square root:
This simplifies to:
- Solve for :
So, the solution is .
Would you like a more detailed explanation, or do you have any questions?
Here are some related questions:
- How do you solve square root equations with different constants?
- What if the equation had a negative result under the square root?
- How would you solve a square root equation with variables on both sides?
- What happens when you square both sides of an equation in general?
- How do you check if a solution is valid for a square root equation?
Tip: Always check the solution in the original equation to ensure it doesn't introduce extraneous solutions.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Square Root Equations
Basic Algebra
Formulas
√(x + 5) = 8
(√(x + 5))^2 = 8^2
Theorems
Properties of Square Roots
Basic Algebraic Manipulation
Suitable Grade Level
Grades 8-10