The product of two consecutive even positive integers is 10 more than seven times the larger. find the integers?

2 consecutive even numbers ... x and x + 2

x (x + 2) = 7 (x + 2) + 10

x^2 + 2x = 7x + 14 + 10

x^2 + 2x = 7x + 24

x^2 + 2x - 7x - 24 = 0

x^2 - 5x - 24 = 0

(x - 8) (x + 3) = 0

x - 8 = 0

x = 8

x + 3 = 0

x = - 3 ... not this one because it is negative

x = 8

x + 2 = 8 + 2 = 10

so ur 2 consecutive even numbers are 8 and 10