# Math Help - maxima/minima

1. ## maxima/minima

find the two numbers whose sum is 12 such that the sum of the square of one plus four times the other is a minimum

what is the first step ?

2. Originally Posted by killykilly
find the two numbers whose sum is 12 such that the sum of the square of one plus four times the other is a minimum

what is the first step ?
1. Let n, m the numbers in question.

2. "Translate" the text into equations:

[1]: $m+n=12$

[2]: $y = m^2+4n$

3. Substitute one variable in [2] and determine the minimum of y.