1/x-x/2=3

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

x^1

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

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

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

DELTA = 11

DELTA > 0

x = (11^(1/2)+3)/(2*(-1/2)) or x = (3-11^(1/2))/(2*(-1/2))

x = -(11^(1/2)+3) or x = 11^(1/2)-3

x in { -(11^(1/2)+3), 11^(1/2)-3}

x in { -(11^(1/2)+3), 11^(1/2)-3 }

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