Math, asked by alok2236, 1 year ago

X+1/x=12find the value of x2+1/x2

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Answered by Anonymous
6
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Answered by TPS
11

x +  \frac{1}{x} = 12 \\  \\ square \: both \: sides: \\  \\ { ( x +  \frac{1}{x} )}^{2}  =  {12}^{2}  \\  \\  {x}^{2}  +  \frac{1}{ {x}^{2} }  + 2 \times x \times  \frac{1}{x}  = 144

 {x}^{2}  +  \frac{1}{ {x}^{2} }  + 2 = 144 \\  \\  {x}^{2}  +  \frac{1}{ {x}^{2} } = 144 - 2 \\  \\  {x}^{2}  +  \frac{1}{ {x}^{2} } = 142

\textbf{\huge{\red{Answer: 142}}}
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