2x-4/x-3+6

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Solution for 2x-4/x-3+6 equation: 


D( x )

x = 0

x = 0

x = 0

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

2*x-(4/x)-3+6 = 0

2*x-4*x^-1-3+6 = 0

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

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

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

x^1

2*x^2+3*x-4 = 0

2*x^2+3*x-4 = 0

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

DELTA = 41

DELTA > 0

x = (41^(1/2)-3)/(2*2) or x = (-41^(1/2)-3)/(2*2)

x = (41^(1/2)-3)/4 or x = (-(41^(1/2)+3))/4

x in { (-(41^(1/2)+3))/4, (41^(1/2)-3)/4} 

x in { (-(41^(1/2)+3))/4, (41^(1/2)-3)/4 }

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