Math, asked by anupagrawalsiris, 9 months ago


x +  \frac{1}{x}  = 2 \: f ind \: the \: value \: of \:  {x}^{6}

Answers

Answered by BrainlyPopularman
2

GIVEN :

{ \bold{x +  \frac{1}{x}  = 2}}

TO FIND :

x

SOLUTION :

{ \bold{ \implies{x +  \frac{1}{x}  = 2}}} \\  \\  \\ { \bold{ \implies{ {x}^{2} + 1 = 2x }}} \\  \\  \\ { \bold{ \implies{ {x}^{2}  - 2x + 1 = 0}}} \\  \\  \\ { \bold{ \implies{ {(x - 1)}^{2} = 0 }}} \\  \\  \\ { \bold{ \implies{ \boxed{x = 1}}}} \\   \\ \\ { \bold{  \:  \:  \: . \:  \: so \:  \: that \:  \:  - }} \\  \\  \\ { \bold{ \implies{ {x}^{6} =  {(1)}^{6}   = 1}}}

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