What will come in place of the question mark (?) in the following questions ?
`556-:16xx?^2 = 69.5xx8`

Options

A. 5
B. 9
C. 2
D. 4

Answer

To solve the equation \( \frac{556}{16} \times ?^2 = 69.5 \times 8 \), we will follow these steps:

### Step 1: Simplify the right side of the equation
First, we need to calculate \( 69.5 \times 8 \).

\[ 69.5 \times 8 = 556 \]

### Step 2: Rewrite the equation
Now we can rewrite the equation with the calculated value:

\[ \frac{556}{16} \times ?^2 = 556 \]

### Step 3: Divide both sides by 556
To isolate \( ?^2 \), we divide both sides of the equation by 556:

\[ \frac{556}{16} \times ?^2 = 556 \implies \frac{?^2}{16} = 1 \]

### Step 4: Multiply both sides by 16
Next, we multiply both sides by 16 to eliminate the fraction:

\[ ?^2 = 16 \]

### Step 5: Solve for ?
Now, we take the square root of both sides to find the value of \( ? \):

\[ ? = \sqrt{16} = 4 \]

Thus, the value that comes in place of the question mark (?) is **4**.

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