If the question is: "<span>Find two positive numbers whose difference is 28 and whose product is 3900</span>"
If the larger number is x, then x-3900/x=28 multiply by x and transpose x^2-28x-3900=0 Factor (x+78)(x-50)=0 Using the zero product property, x=-78 or x=50, ie. x=50, y=-78
NOTE: if question requires both numbers be positive, there is no solution.
Well, we know that the two consecutive numbers have to be negative, because if it was positive, the smaller number multiplied by two would be much greater. (unless 1 and 2). So, by guessing and checking, we will get -13 and -14 :)
