A number and its reciprocal add up to 13 6 . What could the two numbers be?

omg!!! i did!!! haahh! lol

What is a reciprocal again????

hahah! reciprocal means the opposite kind of...

for example, the reciprocal of 2/3 is 3/2.

That's what I thought.....didn't want to sound stupid if I said the wrong thing

So we have

N + 1/N = 13/6     multiply both sides by N

N² + 1 = (13/6)N    multiply both sides by 6

6N² + 6 = 13N     subtract 13N from both sides

6N² - 13N  + 6 = 0   factor this

(3n -2)(2n -3) = 0

Setting each factor to 0, we have that  either  N = 2/3 or N = 3/2

Check for yourself that adding either number to its reciprocal gives us 13/6......

Good answer CPhill

Wow, Brittany.....you got the correct answer through "ESP"   .....  impressive......LOL!!!

Now....can you look into that crystal ball  of yours and predict my future ???