Question

if x+1/x=2 then find x^7+1/x7=

Answer 1

1+1/X=2 so 1/X=1 so X=1 and x^7=1 and 1/7x= 1/7, 1+1/7=8/7

Answer 2

Answer:

$Value \: of \:x^{7}+\frac{1}{x^{7}}=2$

Step-by-step explanation:

$Given\: x+\frac{1}{x}=2$

/* Multiply each term by x , we get

$\implies x^{2}+1=2x$

$\implies x^{2}-2x+1=0$

$\implies x^{2}-2\times x\times 1+1^{2}=0$

$\implies (x-1)^{2}=0$

$\implies x-1=0$

$\implies x = 1$

$Now,\\x^{7}+\frac{1}{x^{7}}\\=1^{7}+\frac{1}{1^{7}}\\=1+1\\=2$

Therefore,

$Value \: of \:x^{7}+\frac{1}{x^{7}}=2$

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