Solve the equation by the method of your choice $$ (5 x-2)^{2}=4 $$ The solution set is $$ \{ $$ Simplity your answer. Type an exact answer, using radicals and $$ i $$ as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) nof 2

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To solve the equation $$ (5x - 2)^2 = 4 $$, follow these steps:

1. **Take the Square Root of Both Sides:**
   
   $$
   \sqrt{(5x - 2)^2} = \sqrt{4}
   $$
   
   This simplifies to:
   
   $$
   5x - 2 = \pm 2
   $$

2. **Solve for $$ x $$ in Each Case:**
   
   - **Case 1:** $$ 5x - 2 = 2 $$
     
     $$
     5x = 2 + 2 \
     5x = 4 \
     x = \frac{4}{5}
     $$
   
   - **Case 2:** $$ 5x - 2 = -2 $$
     
     $$
     5x = -2 + 2 \
     5x = 0 \
     x = 0
     $$
   
3. **Write the Solution Set:**
   
   The solutions are $$ x = 0 $$ and $$ x = \frac{4}{5} $$. Therefore, the solution set is:
   
   $$
   \left\{ 0, \frac{4}{5} \right\}
   $$

**Answer:** $$\left\{0, \dfrac{4}{5}\right\}$$
The solutions are $$ x = 0 $$ and $$ x = \frac{4}{5} $$.

Solve the equation by the method of your choice \( (5 x-2)^{2}=4 \) The solution set is \( \{ \) Simplity your answer. Type an exact answer, using radicals and \( i \) as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) nof 2

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