The room numbers on one side of a school corridor are consecutive positive even integers. The product of The room numbers for two adjoining rooms on that side is 7224. Find the room numbers.
Numbers are n, n+2 and we have n(n+2)=7224. Or n^2+2n-7224=0 Using the quadratic equation n=84. So n+2=86 The numbers are 84, 86