Math, asked by juliroyjuliroy47, 4 months ago

if x+ 1/x=20 find x²+1/x²​

Answers

Answered by Ajjubhai56
4

Answer:

here is your answer....

Attachments:
Answered by MrHyper
6

\huge\mathcal\colorbox{skyblue}{\color{black}{AnSwEr~↓~↓~}}

 \bf x +  \frac{1}{x}  = 20 \\  \\  \bf x + 1 = 20x \\  \bf 1 = 20x - x \\  \bf 19x = 1 \\  \bf x =  \blue{ \underline{ \boxed{ \bf  \: \:  \frac{1}{19}  \:  \: }}}

 \bf when \: x =  \frac{1}{19} \:  we \: get :   \\  \\  \bf  {x}^{2}  +  \frac{1}{ {x}^{2} }  \\  \\  \bf =  \cancel{(\frac{1}{19} )^{2}}  +   \frac{1}{ \cancel{ (\frac{1}{19})^{2} } }  \\  \bf  =  \blue{ \underline{ \boxed{ \bf \: 1 \: }}}

\huge\blue{\textbf{\textsf{Hope~it~helps..!!}}}

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