Question

How do you solve `1/x + 1 = x/2`?

Answer 1

We need to take all the variables ,i.e,x to one side and constants to one side.

Explanation:

1)given.1/x+1=x/2
2)bringing variables to one side and constants to one side,1=x/2-1/x
3)on calculating,taking2x as LCM in denominator we get 1=(`x^2`-2)/2x
4)on cross multiplying ,we get 2x=(`x^2`-2)
5)we get a quadratic eqn,so for solving this bringing 2x to the right side we get,`x^2`-2-2x=0
6)for solving the value of x in such equations we apply this formula:-
x=
-b+-`sqrt` `b^2`-4ac##/2a

7) on further solving here values for a,b,c (coefficients) are 1,-2 and -2 respectively.
Sox=2+-`sqrt12`/2....answer
,......................
I hope this helps.