Question #6451226Fill in the Blank
Algebra-2
Question
Solve the equation . The value of is __________.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the ability to solve a square root equation by isolating the radical and squaring both sides.
This problem assesses the ability to solve a square root equation by isolating the radical and squaring both sides.
Key Concept Explanation
To solve the equation , we need to eliminate the square root by squaring both sides. After squaring, we solve the resulting linear equation.
To solve the equation , we need to eliminate the square root by squaring both sides. After squaring, we solve the resulting linear equation.
Step-by-step Solution
1. Square both sides of the equation:
2. Simplify:
3. Add 2 to both sides:
4. Divide both sides by 5:
5. Validate the solution: Substitute
1. Square both sides of the equation:
2. Simplify:
3. Add 2 to both sides:
4. Divide both sides by 5:
5. Validate the solution: Substitute
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