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if alpha, beta, gamma are the roots of...

if ` alpha, beta, gamma ` are the roots of ` x^(3) + x^(2)+x + 9=0` , then find the equation whose roots are `(alpha +1)/(alpha -1) , (beta+1)/(beta -1), (gamma+1)/(gamma -1)`

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AI Generated Solution

To find the equation whose roots are \(\frac{\alpha + 1}{\alpha - 1}, \frac{\beta + 1}{\beta - 1}, \frac{\gamma + 1}{\gamma - 1}\), where \(\alpha, \beta, \gamma\) are the roots of the polynomial \(x^3 + x^2 + x + 9 = 0\), we can follow these steps: ### Step 1: Express the new roots in terms of \(x\) Let: \[ x = \frac{\alpha + 1}{\alpha - 1} \] ...
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