Math, asked by pushkar9693, 3 months ago

If x +1/6 =6, then the value of x² + 1/x² is​

Answers

Answered by shashi7041
16

Answer:

so apply (x+1/x)2=x2+1/x2+2 (6)2=x2+1/x2+2 36-2=x2+1/x2 34=x2+1/x2. o2z1qpv and 229

Answered by vipashyana1
1

Answer:

{x}^{2}  +  \frac{1}{ {x}^{2} }  = 34.05

Step-by-step explanation:

x +  \frac{1}{6}  = 6 \\ x = 6 -  \frac{1}{6}  \\ x =  \frac{36 - 1}{6}  \\ x =  \frac{35}{6}  \\  {x}^{2}  +  \frac{1}{ {x}^{2} }  \\ =  { (\frac{35}{6}) }^{2}   +  \frac{1}{ { (\frac{35}{6} )}^{2}  }   \\ =  \frac{1225}{36}  +  \frac{1}{ \frac{1225}{36} }   \\ =  \frac{1225}{36}  +  \frac{36}{1225}   \\ =  \frac{1500625 + 1296}{44100}  \\  =  \frac{1501921}{44100} \\  = 34.05

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