Math, asked by nishtamittal0, 4 months ago

if x-1/x=7, then find the value of x square +1/x square ​

Answers

Answered by sainiinswag
2

Answer:

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The answer is 51

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Step-by-step explanation:

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Given:-

  • x -  \frac{1}{x}  = 7

To Find:-

  •  {x}^{2}  +  \frac{1}{ {x}^{2} }

{{{ \color{magenta}{ \mathfrak{ ★solution :}}}}}

we \: have \:  \: x -  \frac{1}{x}  = 7 \\  \\ squaring \: on \: both \: sides \\  \\  = =   >  \:  {(x -  \frac{1}{x}) }^{2}  =  {7}^{2}  \\  \\  = =  >  \:  \:  {x}^{2}  +  \frac{1}{ {x}^{2} }  - 2 \times x \times  \frac{1}{x}  = 49 \\  \\  =  =  >  \:  \:  {x}^{2}  +  \frac{1}{ {x}^{2} }  - 2 = 49 \\  \\  =  =  >  \:  \:  {x}^{2}  +  \frac{1}{ {x}^{2} }  = 49 + 2 \\  \\  =  =  >  \:  \:  {x}^{2}  +  \frac{1}{ {x}^{2} }  = 51

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