(x^2+11x+17)/x+3

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Solution for (x^2+11x+17)/x+3 equation: 


D( x )

x = 0

x = 0

x = 0

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

(x^2+11*x+17)/x+3 = 0

(x^2+11*x+17)/x+(3*x)/x = 0

x^2+11*x+3*x+17 = 0

x^2+14*x+17 = 0

x^2+14*x+17 = 0

x^2+14*x+17 = 0

DELTA = 14^2-(1*4*17)

DELTA = 128

DELTA > 0

x = (128^(1/2)-14)/(1*2) or x = (-128^(1/2)-14)/(1*2)

x = (8*2^(1/2)-14)/2 or x = (-8*2^(1/2)-14)/2

(x-((-8*2^(1/2)-14)/2))*(x-((8*2^(1/2)-14)/2)) = 0

((x-((-8*2^(1/2)-14)/2))*(x-((8*2^(1/2)-14)/2)))/x = 0

((x-((-8*2^(1/2)-14)/2))*(x-((8*2^(1/2)-14)/2)))/x = 0 // * x

(x-((-8*2^(1/2)-14)/2))*(x-((8*2^(1/2)-14)/2)) = 0

( x-((-8*2^(1/2)-14)/2) )

x-((-8*2^(1/2)-14)/2) = 0 // + (-8*2^(1/2)-14)/2

x = (-8*2^(1/2)-14)/2

( x-((8*2^(1/2)-14)/2) )

x-((8*2^(1/2)-14)/2) = 0 // + (8*2^(1/2)-14)/2

x = (8*2^(1/2)-14)/2

x in { (-8*2^(1/2)-14)/2, (8*2^(1/2)-14)/2 }

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