(4x^2+29x+29)/(x+6)

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Solution for (4x^2+29x+29)/(x+6) equation: 


D( x )

x+6 = 0

x+6 = 0

x+6 = 0

x+6 = 0 // - 6

x = -6

x in (-oo:-6) U (-6:+oo)

(4*x^2+29*x+29)/(x+6) = 0

4*x^2+29*x+29 = 0

4*x^2+29*x+29 = 0

DELTA = 29^2-(4*4*29)

DELTA = 377

DELTA > 0

x = (377^(1/2)-29)/(2*4) or x = (-377^(1/2)-29)/(2*4)

x = (377^(1/2)-29)/8 or x = (-(377^(1/2)+29))/8

(x+(377^(1/2)+29)/8)*(x-((377^(1/2)-29)/8)) = 0

((x+(377^(1/2)+29)/8)*(x-((377^(1/2)-29)/8)))/(x+6) = 0

( x+(377^(1/2)+29)/8 )

x+(377^(1/2)+29)/8 = 0 // - (377^(1/2)+29)/8

x = -((377^(1/2)+29)/8)

( x-((377^(1/2)-29)/8) )

x-((377^(1/2)-29)/8) = 0 // + (377^(1/2)-29)/8

x = (377^(1/2)-29)/8

x in { -((377^(1/2)+29)/8), (377^(1/2)-29)/8 }

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