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

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2