If x- 1/x=3 find the value of x power 4 - 1/x power 4
Attachments:
Answers
Answered by
13
x^4-1/x^4
;(x^2)^2-(1/x^2)^2
;(x^2+1/x^2)(x^2-1/x^2)........ eq (1)
again
(x-1/x)^2=x^2+1/x^2-2x×1/x
3^2=x^2+1/x^2+2
x^2+1/x^2=9-2=7
again
x^2+(1/x)^2=(x-1/x)×3
x-1/x=7/3
;:
x^2-1/x^2=7/3×3=7
there for
put all value in eq (1)
x^4-1/x^4=(7)×(7)=49
is your answer
;(x^2)^2-(1/x^2)^2
;(x^2+1/x^2)(x^2-1/x^2)........ eq (1)
again
(x-1/x)^2=x^2+1/x^2-2x×1/x
3^2=x^2+1/x^2+2
x^2+1/x^2=9-2=7
again
x^2+(1/x)^2=(x-1/x)×3
x-1/x=7/3
;:
x^2-1/x^2=7/3×3=7
there for
put all value in eq (1)
x^4-1/x^4=(7)×(7)=49
is your answer
AnkitSingh123d:
The answer in my book is different.
plz mark as brainlist
kitna diya hai
It si 119
199
Sorry 119
Answered by
22
Answer:
Step-by-step explanation:
Attachments:
Similar questions