if x-1/x+1 then x=?
plz answer me.......
Answers
Answer
Step-by-step explanation:
(x-1/x+1) X (x-1/x-1)
(x-1)² / (x²-1²)
(x²-2x-1) / (x-1)
x-1=x²-2x-1
x=x²-2x
x+2x=x²
3x=x²
3= x²/x
3 = x
Answer:
What is the solution of- if x+1/x=1, then (x+1) ^3+1/(x+1) ^3=?
For curricular and extra-curricular.
we have, x+1/x=1
Or,x²+1=x
Or,x² -x+1=0
Or, x² -2.x.(1/2)+1/4=1/4 -1
Or,(x-1/2)²=-3/4
Or,x-1/2=±i√3/2
Or,x=1/2±i√3/2
For x=1/2+i√3/2
x+1=1+1/2+i√3/2
Or,x+1=3/2+i√3/2
Or,(x+1)³ =(1/8)(3+i√3)³
Or, (x+1)³=(1/8)(27+i27√3–27-i3√3)
Or,(x+1)³=i3√3
Or,(x+1)³ +1/(x+1)³ =i3√3+1/i3√3
Or,(x+1)³ +1/(x+1)³ =i26/3√3
When x=1/2-i√3/2
Then, x+1=3/2-i√3/2
Or, (x+1)³=(1/8)(27–i27√3–27+i3√3)
Or,(x+1)³=-i3√3
Or,(x+1)³+1/(x+1)³ =-i3√3+1/-i3√3
Or,(x+1)³+1/(x+1)³ =-i26/3√3
Hence (x+1)³+1/(x+1)³=±i26/3√3
Step-by-step explanation:
now,
you can do it in your copy