How do you solve # (x-2)^(3/4)=8#?
There is an easy solution which is:
But we can get other solutions:
We already know that 18 is one of the zeros:
So we divide the third degree polynom by (x-18):
These are false solutions, since
So the only solution is x=18.
Assuming no complex solution is required
Take the cube root of both sides giving
Raise both sides to the power of 4 giving