If `x^(2)= 25^(2)- 15^(2)`, then find the value of x.
A. 40 B. 50 C. 20 D. 25

Options

A. B
B. A
C. C
D. D

Answer

To solve the equation \( x^2 = 25^2 - 15^2 \), we will follow these steps:

### Step 1: Calculate \( 25^2 \) and \( 15^2 \)
First, we need to find the squares of 25 and 15.
\[ 25^2 = 625 \]
\[ 15^2 = 225 \]

### Step 2: Substitute the values into the equation
Now, we substitute these values back into the equation:
\[ x^2 = 625 - 225 \]

### Step 3: Perform the subtraction
Next, we perform the subtraction:
\[ x^2 = 400 \]

### Step 4: Take the square root of both sides
To find \( x \), we take the square root of both sides:
\[ x = \sqrt{400} \]

### Step 5: Calculate the square root
Now, we calculate the square root:
\[ x = 20 \]

### Conclusion
Thus, the value of \( x \) is 20.

### Final Answer
The correct option is C. 20.

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