Question

X+1/x=2 then x^12+1/x^12=​

Answer 1

The answer is 2 as the value of x is 1...

The first equation simplifies to x = 1

Second equation:

1^12 + 1^12

= 1 + 1

= 2

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Answer 2

Answer:

Step-by-step explanation:

x+1/x = 2

(x+1/x)²=2²

→x²+1/x²+2=4

or x²+1/x²=2

Similarly ( x²+1/x²)³=2³

→ ( x^6+1/x^6)+3(x²)(1/x²)(( x²+1/x²)=8

→ ( x^6+1/x^6)+3× 2=8

( x^6+1/x^6) =2

→( x^6+1/x^6)² =2²

→ x^12+1/x^12+2 =4

and x^12+1/x^12 =2

Similarly

x^24+1/x^24 =2

and x^24+1/x^24 −2=2−2=0

→(x^12−1/x^12)²=0

Hence x^12−1/x^12=0

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