Question

Among all pairs of numbers whose difference is 88​, find a pair whose product is as small as possible. What is the minimum​ product?

Answer 1

Hmm
small means negative
if we tried -2 and 86 that is -172
if we tried -3 and 85 that is product of -225
but we have to keep one negative and one positive becuase as soon as both are negative, the product becomes positive
it cannot be 0
to get it as large as possible, make them the same, but negtaives of each other

88/2=44
-44 and 44
product is -1936


the minimum product is -1936