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

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Solution for (1)/(x)-4=(x)/(2) equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

1*x^-1-1/2*x^1-4*x^0 = 0

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

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

x^1

(-1/2)*x^2-4*x+1 = 0

(-1/2)*x^2-4*x+1 = 0

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

DELTA = 18

DELTA > 0

x = (18^(1/2)+4)/(2*(-1/2)) or x = (4-18^(1/2))/(2*(-1/2))

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

x in { -(3*2^(1/2)+4), -(4-3*2^(1/2))} 

x in { -(3*2^(1/2)+4), -(4-3*2^(1/2)) }

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