Question

you multiply to integers and get a product you increase both nunbers by 4 and get a product that is exactly 4 greater than your first product what could you have multipled

Answer 1

-1 and -2

Explanation:

You want to find two integers that have a product 4 greater than their original product when both are increased by 4.

Solution

Let x and y represent the two integers. Then xy is the original product, and (x+4)(y+4) is the second product. The latter exceeds the former by 4, so we have ...

(x+4)(y+4) -xy = 4

4x +4y +16 = 4

x + y + 4 = 1

y = -x -3

There are an infinite number of solutions. A few are ...

{-1, -2}, {0, -3}, {1, -4}, {2, -5}, {3, -6}

<95141404393>