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