Instructions

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

Question 123

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

Solution

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

=> $$9216 + 3969 = (?)^2 - 12321 - 8350$$

=> $$13185 = (?)^2 - 20671$$

=> $$? = \sqrt{13185 + 20671} = \sqrt{33856}$$

=> $$? = 184$$

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