Instructions

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

Question 86

$$\sqrt{?}+19^{2}=21^{2}$$

Solution

Let the number to replace the question mark be equal to $$X$$
So, $$\sqrt{X}+19^{2}=21^{2}$$
Therefore $$\sqrt{X} = (21-19) \times (21 +19) = 2 \times 40 = 80$$
Hence, $$X = 80^2 = 6400$$


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