Exercise 12.
Prove: \(x=y\) if and only if \(xy=\dfrac{(x+y)^2}{4}\text{.}\) Note, you will need to prove two “directions” here: the “if” and the “only if” part.
Prove: \(x=y\) if and only if \(xy=\dfrac{(x+y)^2}{4}\text{.}\) Note, you will need to prove two “directions” here: the “if” and the “only if” part.