# How do you solve # (x-2)^(3/4)=8#?

##### 2 Answers

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

#### Explanation:

Given:

Remember that

Take the cube root of both sides giving

Raise both sides to the power of 4 giving