What approximate value will come in place of question mark (?) in the following question ?
` 151.04-118.95-17.01+?^2=80.07`

Options

A. 4
B. 10
C. 8
D. 12

Answer

To solve the equation \( 151.04 - 118.95 - 17.01 + ?^2 = 80.07 \), we will follow these steps:

### Step 1: Simplify the left side of the equation
Start by calculating the values on the left side of the equation:
\[ 151.04 - 118.95 - 17.01 \]

### Step 2: Perform the subtraction
First, subtract \( 118.95 \) from \( 151.04 \):
\[ 151.04 - 118.95 = 32.09 \]
Next, subtract \( 17.01 \):
\[ 32.09 - 17.01 = 15.08 \]

### Step 3: Rewrite the equation
Now, substitute the result back into the equation:
\[ 15.08 + ?^2 = 80.07 \]

### Step 4: Isolate \( ?^2 \)
To isolate \( ?^2 \), subtract \( 15.08 \) from both sides:
\[ ?^2 = 80.07 - 15.08 \]

### Step 5: Calculate the right side
Now calculate the right side:
\[ 80.07 - 15.08 = 64.99 \]

### Step 6: Solve for \( ? \)
Now take the square root of both sides to find \( ? \):
\[ ? = \sqrt{64.99} \]

### Step 7: Approximate the square root
Since \( 64.99 \) is very close to \( 65 \), we can approximate:
\[ \sqrt{65} \approx 8.06 \]

### Step 8: Final approximation
Thus, the approximate value of \( ? \) is about \( 8 \).

### Conclusion
The approximate value that will come in place of the question mark (?) is \( 8 \).

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