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- Feb 17th 2010, 05:59 AMPunchSolve for x
- Feb 17th 2010, 06:12 AMe^(i*pi)
From the domain

Cancel out 2 then square:

23 is prime and so solve using quadratic formula

However, if we put these solutions back into the original equation we find that - it is an extraneous root so it should be discarded

does equal 0 when put into the original equation so this is a root - Feb 17th 2010, 06:13 AMDiagonal
The numerator must be zero, so ignore the denominator, except to see limitations of acceptable values [x NOT<=-2 or it is undefined or complex.]

Divide by 2 to simplify.

Move the radical to one side [watch for sign change] and square both sides.

Give it a try.