Math Problem Statement
Solve 4x + 4 = 4 elevated 2. Group of answer choices 8 -2 4 2
Solution
Let's solve the equation step by step:
Given:
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First, simplify the right-hand side: So, the equation becomes:
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Subtract 4 from both sides to isolate the term with :
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Divide both sides by 4 to solve for :
Thus, the solution is:
However, none of the answer choices match this result. Could you clarify if the equation was intended to be different, or if there’s a particular context for these answer choices?
Let me know if you'd like to go over this or have any clarifications!
Here are 5 questions that can expand on this:
- How would the solution change if the constant on the right side was 20 instead of ?
- What happens to the solution if the coefficient of is halved?
- How do you solve the equation if there’s a fractional power involved?
- Can you express as a logarithmic equation?
- How does solving this equation compare to solving a quadratic equation?
Tip: Always simplify powers and constants first before isolating the variable for easier calculations!
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Exponentiation
Formulas
Linear equation: ax + b = c
Exponentiation: a^n
Theorems
Properties of Equality
Exponentiation Rule: a^n
Suitable Grade Level
Grades 6-8