Question

(3(×⅓-1/x⅓))⅓=2 then x⅓+x⅓is

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If x=2+2

2/3

+2

1/3

, then the value of x

3

−6x

2

+6x is

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Video Explanation

Solution To Question ID 683053

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Answer

Correct option is

B

2

Given, x=2+2

2/3

+2

1/3

⇒(x−2)=2

2/3

+2

1/3

⇒(x−2)=2

2/3

+2

1/3

On cubing both sides, we get

(x−2)

3

=2

2

+2+3⋅2

2/3

⋅2

1/3

(2

2/3

+2

1/3

)

⇒x

3

−6x

2

+12x−8=4+2+3×2×(x−2)

⇒x

3

−6x

2

+6x=2.