+6 How do I solve for x the following equation
\(\sqrt[m]{(1+x)^2}-\sqrt[m]{(1-x)^2}=\sqrt[m]{1-x^2}\)
Thanks very much in advance!
+6 Thanks for your answer.
"However, x_2 is only valid when m is an odd integer."
This may be a silly question, but could you explain to me why that is the case? Thanks.
+33615 Easiest way to see this is to look at some numerical examples. In the matrices below you can see that the LHS = RHS for all values of m for x1, but LHS = RHS only for odd values of m for x2.
(The first column of a matrix below is m, the second is the LHS of your original equation, the third is the RHS)
