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

 Apr 5, 2021
 #1
avatar+31353 
+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

 Apr 5, 2021
 #2
avatar
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.

 Apr 5, 2021
 #3
avatar+5 
+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.

 Apr 5, 2021
 #4
avatar+218 
0

x(x+1)=2550

x^2+x-2550=0

x=-51

x+1=-50

sum=-101

 Apr 5, 2021

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