Find two consecutive odd integers whose product is 35.

Answer 1

5 and 7, 5x7 =35

one method, take square root of 35 which is about 6, then go one larger and one lesser to get 5 and 7

also square root of 35 is almost -6, go one up and down to get -5 and -7 as the 2 consecutive odd integers

or

another method

let x and x+2 be the 2 odd numbers

x(x+2) = x^2 +2x =35

x^2+2x-35 =0

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

x = 5

x+2 =7

or x=-7

x+2 =-5

the 2 consecutive odd numbers are either 5 and 7 or -5 and -7