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let x="2nd number", so x+5="1st number"
"The product of the two numbers is 374" __ x(x+5)=374 __ x^2+5x-374=0
factoring __ (x+22)(x-17)=0 __ so x=-22 and x=17
the two numbers are 22 and 17 __ they are either both positive or both negative