Question

The sum of the squares of two positive numbers is 100; their maximum product is?

Answer 1

a^2 + b^2=100...max value will be like AM>= GM

Answer 2

what does your last part mean?

Answer 3

arithematic mean >= geometric mean AM is \[\frac{ \sum_{1}^{n} a }{ n }\] and GM is \[ \sqrt[n]{\prod_{1}^{n} a}\]

Answer 4

ok thank you!

Answer 5

The maximum product is 50.
Refer to the Mathematica attachment.

Answer 6

wow thanks so much!

Answer 7

You are welcome.