Question

The sum of a number and teice its reciprocal is 3. Find the number

Answer 1

let n be the number

\[3 = n + 2(\frac{1}{n})\]
Multiply both sides by n\[3n=n^2+2\]subtract 3n from both sides\[n^2-3n+2=0\]Factor or use the quadratic formula to solve for n. Hint: there may be multiple numbers that work!

Answer 2

I got 1 and 2 is that right?

Answer 3

Well, let's check:

1+2*(1/1) = 1+2 = 3 check
2+2*(1/2) = 2+1 = 3 check

Because it was a quadratic, it has two solutions, and you found them!