Question

the product of two consecutive negative integers is 1122. what are the numbers?​

Answer 1

Answer:

Let the no. be x and x+1

x(x+1)=1122

x²+x=1122

x²+x-1122=0

x²+(34-33)x-1122=0

x²+34x-33x-1122=0

x(x+34)-33(x+34)=0

(x+34)(x-33)

x=-34,33

since,x is negative, therefore x=-34

(x+1)=-34+1=-33

this the required numbers are -34 and-33.