Question

if prodeluct of two consecutive positive odd integers is 255. What is the largest integer

Answer 1

15×17=255
hence the largest integar is 17

Answer 2

x*y=255
x=y-2
(y-2)*y=255
$y^2-2y=255$
$y^2-2y-255=0$
(y-17)(y+15)=0
y-17=0
y=17

y+15=0
y=-15 (Since the question asked for positive , so ignore this)

x=17-2
x=15

The largest integer = 17