12/x+3=2x

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Solution for 12/x+3=2x equation: 


D( x )

x = 0

x = 0

x = 0

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

12/x+3 = 2*x // - 2*x

12/x-(2*x)+3 = 0

12/x-2*x+3 = 0

12*x^-1-2*x^1+3*x^0 = 0

(3*x^1-2*x^2+12*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^1-2*x^2+12*x^0) = 0

x^1

3*x-2*x^2+12 = 0

3*x-2*x^2+12 = 0

DELTA = 3^2-(-2*4*12)

DELTA = 105

DELTA > 0

x = (105^(1/2)-3)/(-2*2) or x = (-105^(1/2)-3)/(-2*2)

x = (105^(1/2)-3)/(-4) or x = (105^(1/2)+3)/4

x in { (105^(1/2)-3)/(-4), (105^(1/2)+3)/4} 

x in { (105^(1/2)-3)/(-4), (105^(1/2)+3)/4 }

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