>>14335753>>14335721correct
this is the official solution too, I wonder if there is a better way
I managed to turn the second hand of the equation into a quadrict polynomial using complex numbers on the left side (see nested radicals and how to convert them)
for a quick summary
sqrt(a + sqrt(b)) is equal to sqrt((a+c)/2) + sqrt((a-c)/2) where c is sqrt(a^2 - b)
as you can see, using this technique with he left side you would get a negative number for c, then the complex numbers come in for rescue (it's quite interesting since you can make them disappear into real numbers again applying the trick twice)