(5x2+35x+33)/(x+6)

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Solution for (5x2+35x+33)/(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)

(5*x^2+35*x+33)/(x+6) = 0

5*x^2+35*x+33 = 0

5*x^2+35*x+33 = 0

DELTA = 35^2-(4*5*33)

DELTA = 565

DELTA > 0

x = (565^(1/2)-35)/(2*5) or x = (-565^(1/2)-35)/(2*5)

x = (565^(1/2)-35)/10 or x = (-(565^(1/2)+35))/10

(x+(565^(1/2)+35)/10)*(x-((565^(1/2)-35)/10)) = 0

((x+(565^(1/2)+35)/10)*(x-((565^(1/2)-35)/10)))/(x+6) = 0

( x+(565^(1/2)+35)/10 )

x+(565^(1/2)+35)/10 = 0 // - (565^(1/2)+35)/10

x = -((565^(1/2)+35)/10)

( x-((565^(1/2)-35)/10) )

x-((565^(1/2)-35)/10) = 0 // + (565^(1/2)-35)/10

x = (565^(1/2)-35)/10

x in { -((565^(1/2)+35)/10), (565^(1/2)-35)/10 }

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