Question

if x+1/x=2 then x⁴+1/x⁴ will be..​

Answer 1

1+x/x=2
then now
given
question
x^4+1/x^4=
(x+1)^4=x^4+1
and
(x)^4=x^4
then
in
[(x+1)]/[(x)]^4=2^4
2^4=2×2×2×2
=4×4
=16

Answer 2

$(x + 1 \div x) ^{2} = {x}^{4} + \frac{1}{x} ^{4} + 2 \\ {2}^{2} = {x}^{4} + \frac{1}{x} ^{4} + 2 \\ 4 - 2 = {x}^{4} + (1 \div x) ^{4}$

$2 = {x}^{4} + \frac{1}{x^{4} }$

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