The following are the steps involved in finding the positive value of x from the equationn `x^(2)=12.96`
Arrange them in sequential order from the first to the last.
A. `x^(2)=((36)^(2))/(10^(2))`
B. `:.x=3.6`
C. `x^(2)=12.96=1296/100`
`D. x=36/10`

Options

A. CDAB
B. CABD
C. CADB
D. CDBA

Answer

To solve the equation \( x^2 = 12.96 \) and find the positive value of \( x \), we can follow these steps in the correct order:

### Step-by-Step Solution:

1. **Convert 12.96 to a fraction**:
\[ x^2 = 12.96 = \frac{1296}{100} \]
This step is represented by option C.

2. **Rewrite the equation**:
\[ x^2 = \frac{36^2}{10^2} \]
This step is represented by option A.

3. **Take the square root of both sides**:
\[ x = \frac{36}{10} \]
This step is represented by option D.

4. **Simplify the fraction**:
\[ x = 3.6 \]
This step is represented by option B.

### Final Order of Steps:
- C: \( x^2 = 12.96 = \frac{1296}{100} \)
- A: \( x^2 = \frac{36^2}{10^2} \)
- D: \( x = \frac{36}{10} \)
- B: \( x = 3.6 \)