If the difference of two numbers is -30, what are the numbers and their minimum product?

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Sagot :

Answer:

the two numbers are 15&-15

their minimum product is -225

Step-by-step explanation:

let the two numbers be:

x

x + 30

The function to be minimized is

y = x(x + 30) = x2 + 30x

Note that y describes a parabola, whose minimum is at the vertex, where

minimum value =-b/2a

x = -30/2 = -15

x + 30 = -15 + 30 = 15

min = -15(15) = -225.