I am working on this problem. I am sure it is simple, but I am just getting back into the studying thing :) The problem is: The sum of a number and its reciprocal is 10/3. What is the number? I think the formula should be x + 1/x = 10/3, but i am not sure.

Question

I am working on this problem. I am sure it is simple, but I am just getting back into the studying thing :)  The problem is: The sum of a number and its reciprocal is 10/3. What is the number? I think the formula should be x + 1/x = 10/3, but i am not sure.

anonymous · Answer

Hi! Let the number be x

Reciprocal = 1/x

x+1/x = 10/3
LCD=X
x^2/x + 1/x = 10/3
x^2 +1 = 10x/3
x^2+1-10x/3 = 0
Now using quadratic formula find the roots! Hope it helps!

anonymous · Answer

yes that helps. thanx !

anonymous · Answer

Answer is 1/3 + 3/1  = 10/1 . Hope it helps!

anonymous · Answer

ok I am going to try to figure it out and see what happens...this is my second day back at math....so it is alot of review :)