1. The problem statement, all variables and given/known data

10) Two numbers have a sum of 13.

10)a) Find the minimum of the sum of their squares.

10)b) What are the two numbers

2. Relevant equations

y = ax^2 + bx + c

y = a (x-h)^2 + k

According to the text: for a quadratic function in the forum of y=a(x-h)2+k, the maximum or minimum value is k, when x=h. If a> 0, k is the minimum value of the function. If a <0, k is the maximum value of the function.

3. The attempt at a solution

No attempt, do not understand how to properly attempt the question.

What I believe to understand is that

a) the question is asking for the value of two numbers which add up to 13, and

b) what the value of those two numbers squared, then added up together is. I don't understand why it's asking for the "minimum" value of their squares.