A) 3
B) 2
C) 1
D) None of these
Correct Answer: B
Solution :
\[x=2+{{2}^{2/3}}+{{2}^{1/3}}\] \[\Rightarrow \] \[(x-2)={{2}^{2/3}}+{{2}^{1/3}}\] \[\Rightarrow \] \[{{(x-2)}^{3}}={{({{2}^{2/3}}+{{2}^{1/3}})}^{3}}\] \[=4+2+3\times {{2}^{2/3}}\times {{2}^{1/3}}[{{2}^{2/3}}+{{2}^{1/3}}]\] \[\Rightarrow \] \[=6+3\times 2\,(x-2)\] [From Eq. (i)] \[\Rightarrow \] \[{{(x-2)}^{3}}=6+6x-12=6x-6\] \[\Rightarrow \] \[{{x}^{3}}-8-6x\,(x-2)=6x-6\] \[\Rightarrow \] \[{{x}^{3}}-6{{x}^{2}}+6x=2\]
You need to login to perform this action.
You will be redirected in
3 sec
