Manipal MET2021MathematicsBasics of Mathematics
If x^ 4 / 3 +x^ -1 / 3 =1, x^5+3 x^2-x is equal to
Options
- A0
- B1
- C-1
- D2
Correct answer
C. -1
Step-by-step solution
aligned & x^ 4 / 3 +x^ -1 / 3 =1 x^ 4 / 3 x^ 1 / 3 +1=x^ 1 / 3 & x^ 5 / 3 -x^ 1 / 3 =-1 aligned On cubing both sides, we get array rr & x^5-x-3 x^2 (x^ 5 / 3 -x^ 1 / 3 )=-1 & x^5-x+3 x^2=-1 array