Question

I'm a bit rusty on optimization, can someone please help me set up the matrix algebra to solve the following four equations, four unknowns (w1, w2, x1, and x2)?

w1 + w2 = pi/2
w1*x1 + w2*x2 = pi^2/8
w1*x1^2 + w2*x2^2 = pi^3/24
w1*x1^3 + w2*x2^3 = pi^4/64

Thanks!