Question

1)Solve for x
(x^2+1/x^2)-7(x+1/x)
+ 14 = 0 where x #0

Answer 1

Step-by-step explanation:

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− 1