Math Problem Statement
Solve the equation: sqrt(2x) + 3 = 9
Solution
The equation displayed in the image is:
Let's solve this step by step.
Step 1: Isolate the square root term.
To do this, subtract 3 from both sides of the equation:
Step 2: Square both sides.
Next, square both sides of the equation to eliminate the square root:
Step 3: Solve for .
Now, divide both sides by 2:
Thus, the solution is .
Would you like more details or have any questions about the steps? Here are some related questions you might find interesting:
- How do you handle equations with multiple square root terms?
- What happens if the equation involves a negative square root?
- Can you explain why squaring both sides is valid in algebraic manipulation?
- What would change if the equation had a cube root instead?
- How can you verify the solution after solving the equation?
Tip: Always check your final solution by substituting it back into the original equation to ensure it works correctly!
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Math Problem Analysis
Mathematical Concepts
Algebra
Square Root Equations
Formulas
sqrt(a) = b -> a = b^2
Basic algebraic manipulation
Theorems
Properties of square roots
Basic algebraic theorems for solving linear equations
Suitable Grade Level
Grades 7-9