Question

Solve the following:-
\((88)^2 + (73)^2 = (?)^2 – (38)^2 – 859\)

• A. 15876
• B. 15376
• C. 126
• D. 124
• E. None of these

Answer 1

The Correct Option is D

Let's solve the equation step by step:

\((88)^2 + (73)^2 = (?)^2 - (38)^2 - 859\)

First, calculate the squares:

\(88^2 = 7744 ,73^2 = 5329,  38^2 = 1444\)

Now, substitute these values back into the equation:

\(7744 + 5329 = (?)^2 - 1444 - 859\)

Add the values on the left side:

7744 + 5329 = 13073

Now, add 1444 and 859 on the right side:

1444 + 859 = 2303

Now, you have: \(13073 = (?)^2 - 2303\)

To isolate \((?)^2\), add 2303 to both sides of the equation:

\(13073 + 2303 = (?)^2\)

\(15376 = (?)^2\)

Now, take the square root of both sides:

\(\sqrt{15376}\) ≈ 

So, the answer is approximately 124

The correct option is (D): 124