I ran this equation
through http://www.quickmath.com/webMathematica3/quickmath/equations/solve/basic.jsp#v1=3v^8%2B24u^4+v^4%2B48u^8%3D3v^8%2B56u ^4+v^4%2B112u^8&v2=u
and am confused about it's results. It says that 2 of the values for are real. Here's one of them (sorry, I couldn't get the indices small with tex so am just using ordinary text
v=(-1)^(1/4) * 2^(1/4) * u
I don't understand how (-1)^(1/4) is real. I thought it was the same as
Forgot to add, I've also done this by hand and have which I think comes to the same thing.