Instructions

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

Question 121

$$(?)^{2}+15^{2}-33^{2}=97$$

Solution

Expression : $$(?)^{2}+15^{2}-33^{2}=97$$

=> $$(?)^2 + 225 - 1089 = 97$$

=> $$(?)^2 - 864 = 97$$

=> $$(?)^2 = 97 + 864 = 961$$

= $$? = \sqrt{961} = 31$$


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