Answer with Step-by-step explanation:
Let the two consecutive integers be x and x+1
Then, x(x+1)=72
x²+x-72=0
x²+9x-8x-72=0
x(x+9)-8(x+9)=0
(x-8)(x+9)=0
either x-8=0 or x+9=0
i.e. x=8 or x=-9
when x=8,x+1=9 and 8×9=72
when x=-9,x+1=-8 and -9×(-8)=72
Hence, two consecutive integers such that their product is equal to 72 are:
8 and 9 or -9 and -8