Solveeit Logo

Question

Quantitative Aptitude Question on Equations

Solve the following:-
(88)2+(73)2=(?)2(38)2859(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)2859(88)^2 + (73)^2 = (?)^2 - (38)^2 - 859

First, calculate the squares:

882=7744,732=5329,382=144488^2 = 7744 ,73^2 = 5329, 38^2 = 1444

Now, substitute these values back into the equation:

7744+5329=(?)214448597744 + 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=(?)2230313073 = (?)^2 - 2303

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

13073+2303=(?)213073 + 2303 = (?)^2

15376=(?)215376 = (?)^2

Now, take the square root of both sides:

15376\sqrt{15376}

So, the answer is approximately 124

The correct option is (D): 124