`(72)^(2) = 51 x 4` Find the value of x.

Options

A. 9
B. 2
C. 7
D. 8

Answer

To solve the equation \( (72)^2 = 51 \times 4 \), we need to find the value of \( x \). Let's go through the steps systematically.

### Step 1: Calculate \( 72^2 \)
First, we need to calculate \( 72^2 \).

\[ 72^2 = 5184 \]

### Step 2: Calculate \( 51 \times 4 \)
Next, we calculate \( 51 \times 4 \).

\[ 51 \times 4 = 204 \]

### Step 3: Set up the equation
Now we have the equation:

\[ 5184 = 204x \]

### Step 4: Solve for \( x \)
To find \( x \), we divide both sides of the equation by 204.

\[ x = \frac{5184}{204} \]

### Step 5: Perform the division
Now we perform the division:

\[ x = 25.5 \]

### Step 6: Check for integer value
Since the question seems to imply \( x \) should be an integer, we need to check if there is a mistake in the calculations or assumptions.

### Step 7: Re-evaluate the multiplication
We realize that we might have misinterpreted the multiplication. Let's check if \( 51 \times 4 \) was meant to be \( 51 \times x \).

If we assume \( 51x = 5184 \), then we can solve for \( x \) again:

\[ x = \frac{5184}{51} \]

Calculating this gives:

\[ x = 102 \]

### Conclusion
Thus, the value of \( x \) is \( 102 \).