1/x-1=x+2/4

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Solution for 1/x-1=x+2/4 equation: 


D( x )

x = 0

x = 0

x = 0

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

1/x-1 = x+2/4 // - x+2/4

1/x-x-(2/4)-1 = 0

1/x-x-1/2-1 = 0

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

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

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

x^1

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

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

DELTA = (-3/2)^2-(-1*1*4)

DELTA = 25/4

DELTA > 0

x = ((25/4)^(1/2)-(-3/2))/(-1*2) or x = (-(-3/2)-(25/4)^(1/2))/(-1*2)

x = -2 or x = 1/2

x in { -2, 1/2} 

x in { -2, 1/2 }

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