When trying to solve 8 equations in 8 unknowns, I get `SystemException["MemoryAllocationFailure"]`. I am not sure if I am doing something wrong, or is this something that should not really happen.  Here is the code:

    f={w1 + w2 + w3 + w4 == 2, w1*x1 + w2*x2 + w3*x3 + w4*x4 == 0, 
     w1*x1^2 + w2*x2^2 + w3*x3^2 + w4*x4^2 == 2/3, 
     w1*x1^3 + w2*x2^3 + w3*x3^3 + w4*x4^3 == 0, 
     w1*x1^4 + w2*x2^4 + w3*x3^4 + w4*x4^4 == 2/5, 
     w1*x1^5 + w2*x2^5 + w3*x3^5 + w4*x4^5 == 0, 
     w1*x1^6 + w2*x2^6 + w3*x3^6 + w4*x4^6 == 2/7, 
     w1*x1^7 + w2*x2^7 + w3*x3^7 + w4*x4^7 == 0};

    NSolve[f, {w1, w2, w3, w4, x1, x2, x3, x4}]

![Mathematica graphics](https://i.sstatic.net/pym7Q.png)

This is using Mathematica 10.4, on windows 7, 16 GB RAM, 64 bits.

This happens only with `NSolve`. Using `Solve` does not generate this error, which is even more strange.

**question is**: Should this error be generated? Is this a user error? or problem in `NSolve` ?