I need to show work by finding the solution to this problem while using quadratic applications.
1122=x(x+1) since it is 2 consecutive numbers x is our initial number and x+1 is the number after x and they are multiplied together
multiply out 1122=x^2+x
0=x^2+x-1122 now we factor it out and get (x=33, x=-34) when factoring you are looking for a number that multiplies into -1122 and adds to 1 so (x-33)(x+34) is the factored form
now because a quadratic is symmetrical the product of 2 consecutive integers could be 33,34 or -33,-34. Hope this helps
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