Question
Quantitative Aptitude Question on Equations
Solve the following:-
(88)2+(73)2=(?)2–(38)2–859
A
15876
B
15376
C
126
D
124
E
None of these
Answer
124
Explanation
Solution
Let's solve the equation step by step:
(88)2+(73)2=(?)2−(38)2−859
First, calculate the squares:
882=7744,732=5329,382=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:
15376 ≈
So, the answer is approximately 124
The correct option is (D): 124