1.

If x+1/x=3 find the value of xcube +1/xcube​

Answer»

Step-by-step explanation:

Given, X

x

1

=5

Squaring both the sides,

⇒(x−

x

1

)

2

=5

2

⇒x

2

+

x

2

1

−2(x)(

x

1

)=25

⇒x

2

+

x

2

1

=25+2

⇒x

2

+

x

2

1

=27

Now,

x

3

x

3

1

=(x−

x

1

)[(x)

2

+(

x

1

)

2

+(x)(

x

1

)]

=5(27+1)

=140



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