Math, asked by dv503648, 3 months ago

x^2+1/x^2=5quadratic equation​

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Answered by mahajanakash244
0

Answer:

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Answered by Anonymous
3

EXPLANATION :

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

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

 \implies \sf \:   4{x}^{2}  - 1 = 0

 \implies \sf \:   {(2x)}^{2}  -  {(1)}^{2} = 0

 \implies \sf(2x + 1)(2x - 1) = 0

 \implies  \boxed{\sf x =  -  \frac{1}{2}  \:  \:  \: or \:  \:  \: x =  \frac{1}{2} }

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