(x+1)(x-2)/x+3

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Solution for (x+1)(x-2)/x+3 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

x^2+2*x-2 = 0

x^2+2*x-2 = 0

x^2+2*x-2 = 0

DELTA = 2^2-(-2*1*4)

DELTA = 12

DELTA > 0

x = (12^(1/2)-2)/(1*2) or x = (-12^(1/2)-2)/(1*2)

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

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

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

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

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

( x-((-2*3^(1/2)-2)/2) )

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

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

( x-((2*3^(1/2)-2)/2) )

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

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

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

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