2x^2-1/x=1

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Solution for 2x^2-1/x=1 equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

2*x^2-(1/x) = 1 // - 1

2*x^2-(1/x)-1 = 0

2*x^2-x^-1-1 = 0

2*x^2-1*x^-1-1*x^0 = 0

(2*x^3-1*x^1-1*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^3-1*x^1-1*x^0) = 0

x^1

2*x^3-x-1 = 0

{ 1, -1 }

1

x = 1

2*x^3-x-1 = 0

1

x-1

2*x^2+2*x+1

2*x^3-x-1

x-1

2*x^2-2*x^3

2*x^2-x-1

2*x-2*x^2

x-1

1-x

0

2*x^2+2*x+1 = 0

DELTA = 2^2-(1*2*4)

DELTA = -4

DELTA < 0

x in { 1} 

x = 1

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