Question 71187
The product of two consecutive positive even integers is 360.  Find the integers.
let x = integer.
since they are positive even integers, the next integer will be;
x+2 = integer #2
equation;
x(x+2)=360
{{{x^2}}}+2x=360
subtract both sides by 360;
{{{x^2}}}+2x-360=0
factor;
(x-18)(x+20)=0
x-18=0    x+20=0
x=18    x=-20
since they are even integers, they answer has to be;
x=18
now plug 18 into the equation for x;
18(18+2)=360
18(20)=360
360=360
so your integers are; 18 and 20
:)