Math, asked by rutujagangurde24, 2 days ago

please help guys.please ​

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Answers

Answered by hyper26hype
3
25 is the only multiple of 5 in it so go for it!
Answered by Anonymous
93

Question -

If  \sf{x+\frac{1}{x}=5\:} then \sf{x^2+\frac{1}{x^2}\:} is

  • 23
  • 25
  • 0
  • 27

Solution -

Firstly we will be squaring both the sides of the given equation,

\implies\sf{(x+\frac{1}{x})^2=(5)^2\:}

Opening the bracket on L.H.S by applying the algebraic identity -

         (a + b)² = a² + b² + 2ab

\implies\sf{x^2+\frac{1}{x^2}+2\times\cancel{ x}\times \frac{1}{\cancel{x}} =25\:}

\implies\sf{x^2+\frac{1}{x^2}=25-2\:}

\implies\bf{x^2+\frac{1}{x^2}=23\:}

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