Question

The product of two consecutive negative even integers is 24. Find the numbers?

Answer 1

Answer:

-4 and -6 are the two consecutive negative even integers = 24

Answer 2

The numbers are -6 and -4

Step-by-step explanation:

let the two consecutive negative even integers  be -2n and -2 (n+1)

then according to question

The product of two consecutive negative even integers is 24.

i.e

( -2n) × (-2(n+1)) = 24

4×n×(n+1)  = 24

n(n+1) = 6

n² +n =6

n² +n -6 =0

n² +3n -2n -6=0

n(n+3) -2(n+3) =0

(n-2) (n+3) =0

n = -2

n= 3

taking n = 2 because n must be a positive integer

hence for n = 2

-2 (n+1) = -6

hence , The numbers are -6 and -4

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