Math, asked by rathourankush45, 8 months ago

if x+√15=4
then x+1\x=?​

Answers

Answered by vanshsvst
2

Answer:

x +  \frac{1}{ x }  = 8

Step-by-step explanation:

x = 4 -  \sqrt{15}

 \frac{1}{x}  =  \frac{1}{4 -  \sqrt{15} }

ratonalising the term 1/x

  \frac{1}{x}  =  \frac{1}{4 -  \sqrt{15} }  \times  \frac{4 +  \sqrt{15} }{4 +   \sqrt{15}  }

 \frac{1}{x}  =  \frac{4 +  \sqrt{15} }{16 - 15}

 \frac{1}{x}  =  {4  +  \sqrt{15} }

Now , putting value of x and 1/x in que , we get

x  +  \frac{1}{x}  = 4 -  \sqrt{15}  + 4 +  \sqrt{15}

x +  \frac{1}{x}  = 8

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