If `0.14/x^(2)=14`, then x is equal to

Options

A. `0.01`
B. 10
C. 100
D. `0.1`

Answer

To solve the equation \( \frac{0.14}{x^2} = 14 \), we can follow these steps:

### Step 1: Rewrite the equation
Start with the given equation:
\[ \frac{0.14}{x^2} = 14 \]

### Step 2: Multiply both sides by \( x^2 \)
To eliminate the fraction, multiply both sides by \( x^2 \):
\[ 0.14 = 14x^2 \]

### Step 3: Divide both sides by 14
Next, isolate \( x^2 \) by dividing both sides by 14:
\[ x^2 = \frac{0.14}{14} \]

### Step 4: Simplify the right side
Calculate \( \frac{0.14}{14} \):
\[ x^2 = 0.01 \]

### Step 5: Take the square root of both sides
To find \( x \), take the square root of both sides:
\[ x = \sqrt{0.01} \]

### Step 6: Calculate the square root
The square root of \( 0.01 \) is:
\[ x = 0.1 \]

### Final Answer
Thus, the value of \( x \) is:
\[ \boxed{0.1} \]