x+1/x=2; Then What is x^15+1/x^15=?
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Answered by
3
HELLO DEAR,
x + 1/x = 2
=> (X²+1)/x = 2
=> X²+1 = 2x
=> X² - 2x + 1 = 0
=> X² - x - x +1 =0
=> X(x-1) - 1(x-1) =0
=> (X-1)(x-1)
=> X = 1
and
1/x =1/1 =1
X^15 + 1/x^15 = 1+1 =2
I HOPE ITS HELP YOU DEAR,
THANKS
x + 1/x = 2
=> (X²+1)/x = 2
=> X²+1 = 2x
=> X² - 2x + 1 = 0
=> X² - x - x +1 =0
=> X(x-1) - 1(x-1) =0
=> (X-1)(x-1)
=> X = 1
and
1/x =1/1 =1
X^15 + 1/x^15 = 1+1 =2
I HOPE ITS HELP YOU DEAR,
THANKS
Answered by
1
Answer:
x + 1/x = 2
=> (X²+1)/x = 2
=> X²+1 = 2x
=> X² - 2x + 1 = 0
=> X² - x - x +1 =0
=> X(x-1) - 1(x-1) =0
=> (X-1)(x-1)
=> X = 1
and
1/x =1/1 =1
X^15 + 1/x^15 = 1+1 =2
I HOPE ITS HELP YOU DEAR,
THANKS
Explanation:
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