2. The product of two adjacent even numbers is 168. Find the two even numbers

2. The product of two adjacent even numbers is 168. Find the two even numbers


Let these two even numbers be 2x, 2x + 2
2x(2x+2)=168
4x²+4x-168=0
x²+x-42=0
(x+7)(x-6)=0
x1=-7
x2=6
2x1=-14,2x2=12
These two even numbers: - 14, - 12 or 12,14



Given that the product of two continuous positive even numbers equals 168, then the two even numbers are______ .


Let the smaller even number be 2n, and the larger one be (2n + 2), (2n + 2) · 2n = 168, n = 6 or n = - 7 (rounding off). 2n = 12, 2n + 2 = 14. So the two even numbers are 12, 14. So the answer is: 12, 14