solve the equation below algebraically and express the result in simplest radical form

Question

13/x=10-x

I did 13/x=10-x
multiplied each side by x and then subtracted 13 to get
0=13-(10x-x^2)
x^2-10x+13=0
x=(10+/- square root of 100-52)/2
x=(10=/- 4square root 3) /2
my answer was x=5+/- 2square root 3
was this right? thank you

Answer 1

yes, I simply used my calculator and subbed your answer
It worked.

Answer 2

Thank you

Answer 3

you're welcome