3-2/x=1/4x

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

x^1*(3*x^1-1/4*x^2-2*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 = 7

DELTA > 0

x = (7^(1/2)-3)/(2*(-1/4)) or x = (-7^(1/2)-3)/(2*(-1/4))

x = -2*(7^(1/2)-3) or x = 2*(7^(1/2)+3)

x in { -2*(7^(1/2)-3), 2*(7^(1/2)+3)} 

x in { -2*(7^(1/2)-3), 2*(7^(1/2)+3) }

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