Math Problem Statement
Evaluate the equation 2f = (9 - x^3) / 4 for the values x = -2, 0, 3, and 6.
Solution
To solve the equation for the given values of and , we will follow these steps:
- Substitute each value of into the equation to solve for .
- Simplify the equation to find the value of .
Step 1: Solve for when
Substitute into the equation:
Step 2: Solve for when
Substitute into the equation:
Step 3: Solve for when
Substitute into the equation:
Step 4: Solve for when
Substitute into the equation:
Final Results:
- ,
- ,
- ,
- ,
Would you like more details or have any questions?
Here are 5 relative questions:
- What happens if is a non-integer, such as ?
- How would the equation change if the coefficient of was 3 instead of 2?
- Can ever be zero? Under what conditions?
- What is the behavior of as becomes very large or very small?
- How does changing the constant 9 in the equation affect the values of ?
Tip: When substituting values into equations, make sure to correctly handle negative signs and powers, as they can significantly change the outcome.
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Math Problem Analysis
Mathematical Concepts
Algebra
Equations
Substitution
Formulas
2f = (9 - x^3) / 4
Theorems
Basic Algebraic Operations
Suitable Grade Level
Grades 8-10