The product of two consecutive odd integers is 35.

Question

The product of two consecutive odd integers is 35.Find all such pairs of integers.

 

The positive set of integers: x = ____  and x+2 = ____


The negative set of integers: x = ____  and x+2 = ____

Answer 1

x = one odd integer

x+2 = next consecutive odd integer

x(x+2)=35

x² +2x      =35

            -35=-35

x² +2x - 35 = 0

(x+7)(x-5)=0

x+7 = 0     x-5 =0

x=-7            x=5

 

-7 +2 = -5

the two negative solutions are   x=-7 and x+2=-5

 

5+2 = 7

the two positive solutions are    x = 5 and x+2 = 7