Answer:
There is no solution to this equation that is an integer for x.
Step-by-step explanation:
x is the first integer, and x+1 the second
[tex]x(x+1) = 24\\x^{2} + x - 24 =0\\[/tex]
[tex]x = \frac{-1+\sqrt{1^{2}+4*24}}{2} =\frac{-1+\sqrt{97}}{2}\\x = \frac{-1-\sqrt{1^{2}+4*24}}{2} =\frac{-1-\sqrt{97}}{2}[/tex]