What value should come in place of question mark (?) in the given questions?
`1296/31+90/186xx729/9=(?)^2`

Options

A. `+-1`
B. `+-6`
C. `+-9`
D. `+-3`

Answer

To solve the equation \( \frac{1296}{31} + \frac{90}{186} \times \frac{729}{9} = (?)^2 \), we will follow these steps:

### Step 1: Calculate \( \frac{1296}{31} \)
First, we divide 1296 by 31.

\[ \frac{1296}{31} \approx 41.8387 \]

### Step 2: Simplify \( \frac{90}{186} \)
Next, we simplify \( \frac{90}{186} \).

\[ \frac{90}{186} = \frac{90 \div 6}{186 \div 6} = \frac{15}{31} \]

### Step 3: Calculate \( \frac{729}{9} \)
Now, we calculate \( \frac{729}{9} \).

\[ \frac{729}{9} = 81 \]

### Step 4: Multiply \( \frac{90}{186} \) and \( \frac{729}{9} \)
Next, we multiply the simplified fraction \( \frac{15}{31} \) by 81.

\[ \frac{15}{31} \times 81 = \frac{15 \times 81}{31} = \frac{1215}{31} \]

### Step 5: Add the results from Step 1 and Step 4
Now, we add \( \frac{1296}{31} \) and \( \frac{1215}{31} \).

\[ \frac{1296 + 1215}{31} = \frac{2511}{31} \]

### Step 6: Calculate \( \frac{2511}{31} \)
Now, we divide 2511 by 31.

\[ \frac{2511}{31} = 81 \]

### Step 7: Set the equation to find \( (?)^2 \)
Now we have:

\[ 81 = (?)^2 \]

### Step 8: Solve for \( ? \)
Taking the square root of both sides gives us:

\[ ? = \pm 9 \]

Thus, the value that should come in place of the question mark (?) is \( \pm 9 \).

### Final Answer:
The answer is \( \pm 9 \).

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