Question 1185240
let x be one of the odd integers.
then x + 2 would be another of the odd integers.


their product is 63.


you get x * (x + 2) = 63


simplify to get:


x^2 + 2x = 63


subtract 63 from both side of this equation to get:


x^2 + 2x - 63 = 0


factor this quadratic equation to get:


(x + 9) * (x - 7) = 0


set each factor to 0 and solve for x to get:


x = -9 or x = 7


when x = 7, the original equation becomes x * (x + 2) = 63 which becomes:
7 * 9 = 63 which is true.


when x = -9, the original equation becomes -9 * (-9 + 2) which becomes:
-9 * -7 = 63 which is also true.


the value of x can be either  -9 or 7.


unless you had a restriction that the numbers had to be negative or positive, either answer is good.