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

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


D( x )

x+3 = 0

x+3 = 0

x+3 = 0

x+3 = 0 // - 3

x = -3

x in (-oo:-3) U (-3:+oo)

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

x^2+11*x+17 = 0

x^2+11*x+17 = 0

DELTA = 11^2-(1*4*17)

DELTA = 53

DELTA > 0

x = (53^(1/2)-11)/(1*2) or x = (-53^(1/2)-11)/(1*2)

x = (53^(1/2)-11)/2 or x = (-(53^(1/2)+11))/2

(x+(53^(1/2)+11)/2)*(x-((53^(1/2)-11)/2)) = 0

((x+(53^(1/2)+11)/2)*(x-((53^(1/2)-11)/2)))/(x+3) = 0

( x+(53^(1/2)+11)/2 )

x+(53^(1/2)+11)/2 = 0 // - (53^(1/2)+11)/2

x = -((53^(1/2)+11)/2)

( x-((53^(1/2)-11)/2) )

x-((53^(1/2)-11)/2) = 0 // + (53^(1/2)-11)/2

x = (53^(1/2)-11)/2

x in { -((53^(1/2)+11)/2), (53^(1/2)-11)/2 }

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