Problem:
Let a and b be real numbers such that
.
Evaluate .
From AMC12 2002
Happy problem-solving! :-),
Nalin Pithwa
Problem:
Let a and b be real numbers such that
.
Evaluate .
From AMC12 2002
Happy problem-solving! :-),
Nalin Pithwa
Question: Consider the set .
Prove that there is a unique number such that
for all
.
Solution:
Let with
. It suffices to prove that there is unique number
such that
for all
.
In other words, x is the minimum point of the function
,
.
Hence, and
.
Crisp and clear …right?
More later…
Nalin Pithwa