The product of two consecutive negative integers is 2550. What is the sum of the two integers?

Guest Apr 5, 2021

#1**+1 **

x = first integer

x-1 = other integer

x (x-1) = 2550

x^2 -x -2550 = 0 quadratic formula shows x = -51 or~~ 50 ~~

x = -50 x-1 = -51

Another way sqrt 2550 = ±50.49 so the two numbers are very close to this - 50.49 ~~ -50 then the other is -51

ElectricPavlov Apr 5, 2021

#2**0 **

The prime factorization of the numbers is 2 x 3 x 5 x 5 x 17. then I tried to get two consecutive numbers and got: 2 x 5 x 5 and 3 x 17 which get 50 and 51. Then you want negative numbers so the answer is -50 and -51. Also, remember that 2 negative numbers multiplied by each other gets a positive number.

Guest Apr 5, 2021

#3**+2 **

The prime factorization of the numbers is 2 x 3 x 5 x 5 x 17. then I tried to get two consecutive numbers and got: 2 x 5 x 5 and 3 x 17 which get 50 and 51. Then you want negative numbers so the answer is -50 and -51. Also, remember that 2 negative numbers multiplied by each other gets a positive number. sorry i was the guest forgot to login.

JacobLi14212 Apr 5, 2021