Question 809598

the product of two consecutive odd intergers is 15.  Find all pairs of intergers that satisfy this condition?


Let smaller of 2 integers be S


Then larger = S + 2


Therefore, S(S + 2) = 15


{{{S^2 + 2S = 15}}}


{{{S^2 + 2S - 15 = 0}}}


Solve for S. Integers should be {3, 5}, and {- 5, - 3}


You can do the check!! 


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