3/x=9/4x+3

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Solution for 3/x=9/4x+3 equation: 


D( x )

x = 0

x = 0

x = 0

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

3/x = (9/4)*x+3 // - (9/4)*x+3

3/x-((9/4)*x)-3 = 0

(-9/4)*x+3/x-3 = 0

3*x^-1-9/4*x^1-3*x^0 = 0

(3*x^0-9/4*x^2-3*x^1)/(x^1) = 0 // * x^2

x^1*(3*x^0-9/4*x^2-3*x^1) = 0

x^1

(-9/4)*x^2-3*x+3 = 0

(-9/4)*x^2-3*x+3 = 0

DELTA = (-3)^2-(3*4*(-9/4))

DELTA = 36

DELTA > 0

x = (36^(1/2)+3)/(2*(-9/4)) or x = (3-36^(1/2))/(2*(-9/4))

x = -2 or x = 2/3

x in { -2, 2/3} 

x in { -2, 2/3 }

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