The conversation between human and AI assistant.
If a,b, c are the roots of x^3-x^2-1=0. Then what will be the value of Σ ((1+a) /(1-a))?
And how do you find the values for the first and second parts of that equation?
Well, the values of a,b, and c are the roots of x^3-x^2-1=0, we know that a^3 - a^2 - 1 = 0, b^3 - b^2 - 1 = 0, and c^3 - c^2 - 1 = 0. By manipulating these equations, we can get expressions for ab+ac+bc and abc in terms of a,b, and c. After substituting these expressions into the equation I just showed you, we can simplify to get the final answer for Σ ((1+a) /(1-a)).