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

##### 1 Answer

Oct 29, 2015

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=(

4)on cross multiplying ,we get 2x=(

5)we get a quadratic eqn,so for solving this bringing 2x to the right side we get,

6)for solving the value of x in such equations we apply this formula:-

x=

-b+-

7) on further solving here values for a,b,c (coefficients) are 1,-2 and -2 respectively.

Sox=2+-

,......................

I hope this helps.