Prove that

Wednesday, 13 March 2019

11:09 AM

Prove that for all

 

 

Discovery

Case when :

ie

 

 

Case when :

ie

 

   [complete the square]

 

Proof

Case 1: Suppose that  Then

Ie

 

Adding  to both sides shows that

Since  we have

Therefore

 

Case 2: Now suppose that  then

Ie

 

Adding  to both sides give

But  in this case so