12/x+3-x/4

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Solution for 12/x+3-x/4 equation: 


D( x )

x = 0

x = 0

x = 0

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

12/x-(x/4)+3 = 0

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

(3*x^1-1/4*x^2+12*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^1-1/4*x^2+12*x^0) = 0

x^1

(-1/4)*x^2+3*x+12 = 0

(-1/4)*x^2+3*x+12 = 0

DELTA = 3^2-(4*12*(-1/4))

DELTA = 21

DELTA > 0

x = (21^(1/2)-3)/(2*(-1/4)) or x = (-21^(1/2)-3)/(2*(-1/4))

x = -2*(21^(1/2)-3) or x = 2*(21^(1/2)+3)

x in { -2*(21^(1/2)-3), 2*(21^(1/2)+3)} 

x in { -2*(21^(1/2)-3), 2*(21^(1/2)+3) }

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