Question

if the product of two consecutive positive odd integers is 255 what is the larger integer?​

Answer 1

Answer:

17

Step-by-step explanation:

let one positive odd integer be x

so the other consecutive positive odd integer will be x + 2.

Since product two consecutive positive odd integers is 255

x(x+2) = 255

x²+ 2x - 255 = 0

x² + 17x - 15x - 255 = 0

x(x+17) - 15(x+17) = 0

(x - 15)(x+17) = 0

x = 15 or - 17.

But since the odd integer can be positive only, x = 15.

The other positive odd integer becomes 15 + 2 = 17.

The larger integer = 17.