Answer:
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
