The product of two consecutive integers is 72. find all solutions.

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

your answer would be b

step-by-step explanation:

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