Question

The product of two consecutive positive even integers is 14 more than their sum. Set up an equation that can be used to find the two numbers and solve it

Answer 1

Answer:

The numbers are 4 and 6

Step-by-step explanation:

Let

x------> the first positive even integer

x+2---> the second positive even integer

we know that

$x(x+2)=x+(x+2)+14\\x^{2} +2x=2x+16\\x^{2}=16\\x=(+/-)4$

The solution is

$x=4$ -----> positive value

$x+2=4+2=6$

The numbers are 4 and 6