The product of two consecutive odd integers is 1 less than four times their some. find the two integers.

2 consecutive odd integers ... x and x + 2 ... the product means multiply ... the sum means add.

x (x + 2) = 4 (x + x + 2) - 1

x^2 + 2x = 4 (2x + 2) - 1

x^2 + 2x = 8x + 8 - 1

x^2 + 2x = 8x + 7

x^2 + 2x - 8x - 7 = 0

x^2 - 6x - 7 = 0

(x - 7) (x + 1) = 0

x - 7 = 0 x + 2 = 7 + 2 = 9

x = 7

x + 1 = 0 x + 2 = - 1 + 2 = 1

x = - 1

there can be 2 answers for this ...

(1) 7 and 9

(2) - 1 and 1