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I have given $i_1$, $i_2$ and $\alpha$ which can be real or integer. How can I find the roots of:

$$ (i_1 + i_p )^{\alpha} - i_p^{\alpha} - (i_2 \cdot i_p^{\alpha-1}) = 0 $$

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    $\begingroup$ What have you tried so far? Root finding is such a common procedure that it is covered in every numerical methods textbook. $\endgroup$ – Wolfgang Bangerth Sep 4 '15 at 21:50
  • $\begingroup$ You should also try to write the root finding problem in the form $A^\alpha = B^\alpha$ and then take the $\alpha$th root. $\endgroup$ – Wolfgang Bangerth Sep 4 '15 at 21:51

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