The product of two consecutive negative integers is 506. Write and solve an equation to
determine the two numbers?

-22, -23 are two consecutive negative numbers  whose product is 506

Step-by-step explanation:

Let x, x+1 are two consecutive negative numbers

According to given Condition

    or    

       or    

As Number is negative so x = -22

x+1 = -23

-22, -23 are two consecutive negative numbers  whose product is 506

21 and 22 are two consecutive numbers whose squares, when subtracted, equals 43.