Question #6451231Fill 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 cube root equation with an additional constant term by isolating the radical and cubing both sides.
This problem assesses the ability to solve a cube root equation with an additional constant term by isolating the radical and cubing both sides.
Key Concept Explanation
To solve the equation , we first isolate the cube root term by moving the constant to the other side. Then, we cube both sides to eliminate the cube root and solve the resulting linear equation.
To solve the equation , we first isolate the cube root term by moving the constant to the other side. Then, we cube both sides to eliminate the cube root and solve the resulting linear equation.
Step-by-step Solution
1. Start with the given equation:
2. Add 3 to both sides to isolate the cube root:
3. Cube both sides to eliminate the cube root:
4. Simplify:
1. Start with the given equation:
2. Add 3 to both sides to isolate the cube root:
3. Cube both sides to eliminate the cube root:
4. Simplify:
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