Question

if x = 3{4/3 + 2 (2/3 - 1/2 )}
then what is the value of x ?



5

5/3

1

7/6​

Answer 1

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.