Let denote the golden ratio. Solve the equation

**Solution**

First of all we note that

We easily note that is one root of the equation, hence using Horner we get that

Hence is a double root and the other root is .

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Let denote the golden ratio. Solve the equation

**Solution**

First of all we note that

We easily note that is one root of the equation, hence using Horner we get that

Hence is a double root and the other root is .