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: 4x+4=424x + 4 = 4^2

  1. First, simplify the right-hand side: 42=164^2 = 16 So, the equation becomes: 4x+4=164x + 4 = 16

  2. Subtract 4 from both sides to isolate the term with xx: 4x=1644x = 16 - 4 4x=124x = 12

  3. Divide both sides by 4 to solve for xx: x=124=3x = \frac{12}{4} = 3

Thus, the solution is: x=3x = 3

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:

  1. How would the solution change if the constant on the right side was 20 instead of 424^2?
  2. What happens to the solution if the coefficient of xx is halved?
  3. How do you solve the equation if there’s a fractional power involved?
  4. Can you express 424^2 as a logarithmic equation?
  5. 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!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

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