Question

1/x-1+1/x-2=1/x-3 find its roots
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Answer 1

Answer:

x

1

−

x−2

1

=3

⇒3x(x−2)=x−2−x

⇒3x

2

−6x+2=0

⇒9x

2

−18x+6=0

⇒(3x)

2

−2(3x)(3)+3

2

−3=0

⇒(3x−3)

2

=3

⇒3x−3=±

3

⇒x=

3

3±

3

⇒x=1±

3

1

⇒x=1+

3

1

or

x=1−

3

1