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Nitella [24]
3 years ago
12

Find two numbers whose difference is 108 and whose product is a minimum. (smaller number) (larger number)

Mathematics
1 answer:
Gemiola [76]3 years ago
6 0
Let
x---------------> <span>smaller number
y----------------> </span><span>larger number

we know that
y-x=108---------> y=108+x

</span>product------------> x*y-------> x*(108+x)-----> 108x+x²
<span>
 find the derivative and equals to zero
dx/dy=108+2x</span>-------------> 108+2x=0---------> 2x=-108--------> x=-54
<span>
then 
y=108+x-------> y=108-54-----> y=54

the answer is
</span>smaller number is -54
 larger number is 54<span>

</span>
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