1/2=3x-4/x

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Solution for 1/2=3x-4/x equation:


D( x )

x = 0

x = 0

x = 0

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

1/2 = 3*x-(4/x) // - 3*x-(4/x)

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

4/x-3*x+1/2 = 0

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

(1/2*x^1-3*x^2+4*x^0)/(x^1) = 0 // * x^2

x^1*(1/2*x^1-3*x^2+4*x^0) = 0

x^1

(1/2)*x-3*x^2+4 = 0

(1/2)*x-3*x^2+4 = 0

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

DELTA = 193/4

DELTA > 0

x = ((193/4)^(1/2)-(1/2))/(-3*2) or x = (-(1/2)-(193/4)^(1/2))/(-3*2)

x = ((193/4)^(1/2)-1/2)/(-6) or x = ((193/4)^(1/2)+1/2)/6

x in { ((193/4)^(1/2)-1/2)/(-6), ((193/4)^(1/2)+1/2)/6}

x in { ((193/4)^(1/2)-1/2)/(-6), ((193/4)^(1/2)+1/2)/6 }

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