Question

the sum of a number and its reciprocal is 13. find the number?

Answer 1

so its x+ 1/x= 13

Answer 2

but what do i do from there?

Answer 3

add and get
\[\frac{x^2+1}{x}=13\]

Answer 4

then write
\[x^2+1=13x\] so \[x^2-13x+1=0\] and solve for \(x\)

Answer 5

then use the quadratic formula
you good from there?

Answer 6

yeah, i used the quadratic formula and got 12.92, -.07 so i figured i was wrong somehow

Answer 7

i would go with
\[\frac{13+\sqrt{165}}{2}\]

Answer 8

haha okay, thanks again!!!