Math, asked by pansandi822, 11 months ago

plzz give the answer​

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Answers

Answered by VanditaNegi
0

Step-by-step explanation:

here is ur answer dude.....

pls mark me as brainliest......

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Answered by mddilshad11ab
8

\bold\green{\underline{Given:}}

  =  > {x}^{2}  +  \frac{1}{ {x}^{2} }  = 18

\bold\orange{\underline{Find:X-\frac{1}{X}=?}}

  • Here , using identity

=>(a-b)²=a²-2ab+b²

 = >  (x  -   \frac{1}{x} ) {}^{2}  \\  \\  =  >  {x}^{2}  - 2 \times x \times  \frac{1}{x}  +  \frac{1}{ {x}^{2} }  \\  \\  =  >  ({x}^{2}  +  \frac{1}{ {x}^{2} } ) - 2

  • Now putting value of x²+1/x²
  • 18-2
  • 16

 =  > (x -  \frac{1}{x} ) {}^{2}  = 16 \\  \\  =  > x -  \frac{1}{x}  =  \sqrt{16}  \\  \\  =  > x -  \frac{1}{x}  = 4

Hence,

\bold\green{\underline{The\: value\:of\:X-\frac{1}{X}=4}}

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