The two non-negative numbers with a sum of 34 have the largest possible product are 17 and 17.
Non-negative numbers are numbers which are greater than zero and are found to the right of zero on a number line.
To find the non-negative numbers:
Let be two non-negative numbers be x and y
x + y=34
x * y = M where M is some maximum
Let's rearrange the first equation to solve for y in terms of x:
y = 34 - x
substitute for y in the second equation
x * (34-x) = M
34x - x² = M
x will be the peak (x, M) of this parabola, and y = 34-x
For parabolas in ax² + bx + c form, the vertex point (x,M) can be found using x=-b/(2a)
Here a = -1; b = 34,
x = (-34/-2)
x = 17
y=34-17
y =17
Therefore the two numbers are 17 and 17.
Learn more about non-negative numbers at: https://brainly.com/question/17174587
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