Question

The sum of two positive numbers is 8. Find the numbers if the sum of the cube of one and the square of the other is a minimum.

Answer 1

this question is so frustratinggggg

Answer 2

Positive integers?

Answer 3

yes the answer is meant to be 2 and 6

Answer 4

Yes that's right.

Answer 5

y = 8-x, z = x^2+y^3

z = -x^3+25 x^2-192 x+512
min{-x^3+25 x^2-192 x+512} = 44 at x = 6

Y= 2

Answer 6

you only have a few possibilities, 1 and 7, 2 and 7, 3 and 4, 4 and 4.

Answer 7

And you need a low number for the cube.

Answer 8

So you need only look at the first two.

Answer 9

2 and 6 I mean.

Answer 10

Typos:-(

you only have a few possibilities, 1 and 7, 2 and 6, 3 and 5, 4 and 4

Answer 11

Thanks guys !