Instructions

What should come in place of question mark (?) in the following questions ?

Question 163

$$ (96)^{2}+(63)^{2}=(?)^{2}-(111)^{2}-8350$$

Solution

Let the number in the question mark be X.

So, $$X^2 = 96^2 + 63^2 + 111^2 + 8350$$

So, $$X^2 = 9216 + 3969 + 12321 + 8350 = 33856 = 184^2$$

So, $$X = 184 $$


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