1/4x-2/x=3

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

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

DELTA = 11

DELTA > 0

x = (11^(1/2)+3)/(2*(1/4)) or x = (3-11^(1/2))/(2*(1/4))

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

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

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

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