Any real number squared that isn't 0 is greater than 0
1. If and are real numbers, and and , then which of the following inequalities must be true?
A.
B.
C.
D.
E.
(Turns out it is E but not sure why)
2. What is the smallest possible value for the product of two real numbers that differ by 6? (Without using derivatives and/or max/mins)
Why is it -9??
Hello, sarahh!
2. What is the smallest possible value for the product of two real numbers
that differ by 6? (Without using derivatives and/or max/mins)
We have two numbers that differ by 6.
Let = larger number.
and = smaller number.
Their product is: .
The graph is an up-opening parabola: .
Its minimum point is at its vertex.
The vertex is at: .
Hence: .
The vertex of the parabola is
Therefore, the minimum is