Hey fellas. I'm stuck on the following question. I'm quite ashamed to say I've spent about an hour and half on it, and my paper is virtually blank.
If is a real number, then is defined recursively for non-negative integers n: , and for . Also , for any natural number n.
If is a positive real number, and a non-zero integer, then we define the positive root to be the positive real number such that .
1) Is it possible for a positive real number to have two different roots?
For integers a,b, where b doesn't equal 0, and a real number , we define
2) If a,b,c,d are integers and b,d do not equal 0, , and , use these definitions to prove that