INDIAN || 99% Students Failed || A Nice Olympiads Exponential Problem |

[@antoniopedrofalcaolopesmor6095]

4th method:
sqrt(a)/sqrt(a^2) = sqrt(4)
sqrt(a/a^2) = sqrt(4)
sqrt(1/a) = sqrt(4)
1/a = 4
a = 1/4

[@gshotbreez]

please be honest 99% did not fail this

[@temlib1411]

My intuition was : right part is 2. So the square root of a is larger than a : a must be smaller than 1. To reach 2, let's try something like like 1/sqrt(2), 1/2 or 1/4...

[@alexthenr1019]

sqrt(a) / a = sqrt(4) |²
a/a²=4
a=4a²
a/a = 4a
1=4a
1/4=a
0.25 = a
------------------------------
sqrt(0.25) / 0.25 = sqrt(4)
0.5 / 0.25 = 2
2 = 2