# Question:Solving a set of non-linear equations returned a weird expression rather than real numerical values

## Question:Solving a set of non-linear equations returned a weird expression rather than real numerical values

Maple

I'm solving a set of non-linear equations:

```eqn1 := W__1 + W__2 + W__3 + W__4 = 4;
eqn1 := W__1 + W__2 + W__3 + W__4 = 4

eqn2 := W__1*zeta__1 + W__2*zeta__2 + W__3*zeta__3 + W__4*zeta__4 = 0;
eqn2 := W__1 zeta__1 + W__2 zeta__2 + W__3 zeta__3 + W__4 zeta__4 =

0

eqn3 := W__1*zeta__1^2 + W__2*zeta__2^2 + W__3*zeta__3^2 + W__4*zeta__4^2 = 2/3;
2               2               2
eqn3 := W__1 zeta__1  + W__2 zeta__2  + W__3 zeta__3

2   2
+ W__4 zeta__4  = -
3

eqn4 := W__1*zeta__1^3 + W__2*zeta__2^3 + W__3*zeta__3^3 + W__4*zeta__4^3 = 0;
3               3               3
eqn4 := W__1 zeta__1  + W__2 zeta__2  + W__3 zeta__3

3
+ W__4 zeta__4  = 0

eqn5 := W__1*zeta__1^4 + W__2*zeta__2^4 + W__3*zeta__3^4 + W__4*zeta__4^4 = 2/5;
4               4               4
eqn5 := W__1 zeta__1  + W__2 zeta__2  + W__3 zeta__3

4   2
+ W__4 zeta__4  = -
5

eqn6 := W__1*zeta__1^5 + W__2*zeta__2^5 + W__3*zeta__3^5 + W__4*zeta__4^5 = 0;
5               5               5
eqn6 := W__1 zeta__1  + W__2 zeta__2  + W__3 zeta__3

5
+ W__4 zeta__4  = 0

eqn7 := W__1*zeta__1^6 + W__2*zeta__2^6 + W__3*zeta__3^6 + W__4*zeta__4^6 = 2/7;
6               6               6
eqn7 := W__1 zeta__1  + W__2 zeta__2  + W__3 zeta__3

6   2
+ W__4 zeta__4  = -
7

eqn8 := W__1*zeta__1^7 + W__2*zeta__2^7 + W__3*zeta__3^7 + W__4*zeta__4^7 = 0;
7               7               7
eqn8 := W__1 zeta__1  + W__2 zeta__2  + W__3 zeta__3

7
+ W__4 zeta__4  = 0

solve({eqn1, eqn2, eqn3, eqn4, eqn5, eqn6, eqn7}, {W__1, W__2, W__3, W__4, zeta__1, zeta__2, zeta__3, zeta__4});
```

However, the result looks like this:

How should I obtain numerical values for W1,W2,W3,W4,zeta1,zeta2,zeta3,zeta4 ?

﻿