Question

find two numbers whose sum is 14 and product is 32​

Answer 1

Answer:

7

Step-by-step explanation:

Here is an algebraic solution:

Let x = one of the numbers. Then 14-x is the other

So, we are to maximize y = x(14-x) = -x2+14x

The graph of y = -x2+14x is a parabola opening downward with x-intercepts (0,0) and (14,0).

The x-coordinate of the maximum point lies halfway between 0 and 14.

So, the two numbers are 7 and 7.

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