Question 111427
Consecutive odd integers follow the form: {{{2x+1}}}, {{{2x+3}}}, etc



So the product of two such integers is 79 more than their sum translates to: {{{(2x+1)(2x+3)=(2x+1)+(2x+3)+79}}}


{{{4x^2+8x+3=(2x+1)+(2x+3)+79}}} Foil the left side



{{{4x^2+8x+3=4x+83}}} Combine like terms



{{{4x^2+8x+3-4x-83=0}}} Get everything to one side



{{{4x^2+4x-80=0}}} Combine like terms



*[invoke quadratic_formula 4, 4, -80, "x"]



Now plug in {{{x=4}}}


{{{2(4)+1=9}}} and {{{2(4)+3=11}}}


So one pair of numbers is 9,11


Now plug in {{{x=-5}}}


{{{2(-5)+1=-9}}} and {{{2(-5)+3=-7}}}


So another pair of numbers is -7,-9