Question

the sum of a number and its reciprocal is 13. whats this number

Answer 1

You have to solve this equation

\[\Large x + \frac{1}{x} = 13\]

Answer 2

I would multiply everything by the LCD x to get

\[\Large x + \frac{1}{x} = 13\]

\[\Large x^2 + 1 = 13x\]

then get everything to one side

\[\Large x^2 + 1 = 13x\]

\[\Large x^2-13x + 1 = 0\]

from here, use the quadratic formula to solve for x

Answer 3

Thank you

Answer 4

you're welcome