Question 1147635
x(x+1)=528
x^2+x-528=0
the integers are 22 and 24. There are no two consecutive integers whose product is 528.  There are two consecutive POSITIVE integers with that product.
quadratic formula 
x=(1/2)+/- sqrt (1+2112) and the sqrt (2113)=45.97, so with a irrational discriminant, the product requires two positive consecutive integers.