Math, asked by navy2143, 1 year ago

If x²+4x-1=0 and x is positive then find the value of x+1/x

Answers

Answered by milishailendra1981
3
it is not possible, your question is wrong .
x-1/x hoga...
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Answered by sibhiamar
3
I think in question x² + 4x - 1 = 0 is wrong
the correct equation is x² + 4x + 1 = 0

 {x}^{2}  + 4x + 1 = 0 \\  {x}^{2}  + 4x =  - 1 \\ x(x + 4) =  - 1 \\ x =  \frac{ - 1}{x + 4}  \\  \\ x +  \frac{1}{x} =  \frac{ - 1}{x + 4}  +  \frac{1}{ \frac{ - 1}{x + 4} }  \\ x +  \frac{1}{x}  =  - 1( \frac{1}{x + 4}  + (x + 4)) \\ x +  \frac{1}{x}  =  - 1 (\frac{ 1 + (x + 4)(x + 4)}{(x + 4)} \\ x +  \frac{1}{x}  =  - 1( \frac{1 +  {x}^{2} + 8x + 16 }{x + 4})  \\ x +  \frac{1}{x}  =  - 1( \frac{ {x}^{2} + 8x + 17 }{x + 4} ) \\ x +  \frac{1}{x}  =  - 1( \frac{( {x}^{2}  + 4x + 1) + 4x + 16}{x + 4}) \\ x +  \frac{1}{x}  =  - 1( \frac{(0) + 4x + 16}{x + 4} ) \\ x +  \frac{1}{x}  =   - 1(\frac{4(x + 4)}{x + 4} ) \\ x +  \frac{1}{x}  =  - 4
#mark as brainliest
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