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`        X³/2 +2/x³=1 find x³.x³.x³  i get ans8 plz solve this`
2 years ago

```							First of all x can`t be real as can be seen by AM-GM inequality. LHS must >=2 or
```
2 years ago
```							Let x^3/2 =t.Therefore, t+1/t =1 .t^2 +1 =t.  -`a`So, x^3 . x^3. x^3 = 8t  (t = x^3/2)= 8 ( t^2 +1)   (from above)So t^2+1 is greater than or equal to `0` as it is positive. So least value will occur when t=0. So when we put t=0 in above we get x^3.x^3.x^3 =8(t^2 +1) = 8 is the required answer.
```
2 years ago
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