Question 168257
Find both values of x which satisfy the equation
 x + 1/x = 7 + 1 /7 .
:
Multiply equation by 7x to get rid of the denominators, results:
7x^2 + 7 = 49x + x
:
7x^2 + 7 = 50x
:
7x^2 - 50x + 7 = 0; a quadratic equation
factors to
(7x - 1)(x - 7) = 0
:
7x = 1
x = {{{1/7}}}
and 
x = 7