The product of two consecutive odd integers is 255. Find the integers.

15 and 17

Step-by-step explanation:

The product of two consecutive odd integers gives 255

Let the first number be x

Then the second number will be x+2

The product will be

x(x+2)= 255

x²+2x=255

x²+2x-255=0

We have a quadratic equation. We can either use factorisation method or formulae method. Let's use the factorisation, which is the most common method

x²+2x-255

We look for the two numbers which will give us +2 by addition or subtraction and by multiplication will give us -255. And that number is 17 and -15

x²+17x-15x-255

(x+17)(x-15)

x gives 17 and 15

x -

median = 1.25

range = 12-14.5

interquartile = q12-q14.5

y -

median = 1

range = 15-17

interquartile = q15-q17