3/x+2=9/4x-1

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Solution for 3/x+2=9/4x-1 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

x^1*(3*x^1-9/4*x^2+3*x^0) = 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 = (-36^(1/2)-3)/(2*(-9/4))

x = -2/3 or x = 2

x in { -2/3, 2} 

x in { -2/3, 2 }

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