How do you solve \frac { 1} { 2} ( 1+ \frac { 1} { x } ) - 2= \frac { 1- x } { x }?

2 Answers
Aug 10, 2018

x=-1

Explanation:

Here,

1/2(1+1/x)-2=1/x-1

=>1/2(1+1/x)-2-1/x+1=0

=>1/2(1+1/x)-1-1/x=0

=>1/2(1+1/x)-(1+1/x)=0

=>(1+1/x)[1/2-1]=0

=>(1+1/x)[-1/2]=0

=>1+1/x=0to[because-1/2!=0]

=>1/x=-1

=>x=-1

Aug 11, 2018

x=-1

Explanation:

1/2*(1+1/x)-2=(1-x)/x

1/2*(1+1/x)-2=1/x-1

1/2*(1+1/x)=1/x+1

1+1/x=2/x+2

1/x=-1

x=1/(-1)=-1