Two numbers have a difference of 8. Find the numbers if their product is a minimum.?
What does the part where it says the product is a minimum mean?
How does that part relate to your answer?
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4 and -4?
It means of all the options, when you multiply them, it gives the lowest result.
let the numbers be x and y
substitute (x-8) in y
and substitute y for min
now complete the square
substitute in first equation
so the numbers are 4,-4
Not the answer you are looking for? Search for more explanations.
logically, the largest product is a square. Since you want the lowest, there is a change with one of the numbers being negative (plus/minus version of same number), giving you the largest negative number. So we use our difference to tell us how far in each direction we travel from zero.
thank you to everyone who answered they were all helpful