Question 295504
1st integer = x
2nd integer = x + 1
3rd integer = x + 2
{{{x*(x+1) = (x + 2) + 23}}}
{{{x^2 + x = x + 25}}}
{{{x^2 + x - x - 25 = 0}}}
{{{x^2 - 25 = 0}}}
{{{(x - 5)*(x + 5) = 0}}}
x - 5 = 0 or x + 5 = 0
x = 5 or x = -5


so,there are 2 answers:
1st integer = x = 5
2nd integer = x + 1 = 5 + 1 = 6
3rd integer = x + 2 = 5 + 2 = 7
or
1st integer = x = -5
2nd integer = x + 1 = -5 + 1 = -4
3rd integer = x + 2 = -5 + 2 = -3