## Problem 17 – Solution – pg. 3/3

*Problem 17 – Solution: 1, 2, 3*

*Problem 17 – Solution: 1, 2, 3*

### b) To solve the equation means to find its roots. The highest power of for is , therefore has roots. The expresion can be written as :

### [4] where and are the five roots of .

### from [1] we have:

### [5]

### By replacing and calculated at point a) into [5] we have:

### [6]

### From [6] we can see that , and . The roots and will be equal with the roots of the quadratic equation .

### So: and

## And the roots of are: ; ; ; and .

*Problem 17 – Solution: 1, 2, 3*

*Problem 17 – Solution: 1, 2, 3*

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