((5x^2)+33x+13)/(x+6)

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Solution for ((5x^2)+33x+13)/(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+33*x+13)/(x+6) = 0

5*x^2+33*x+13 = 0

5*x^2+33*x+13 = 0

DELTA = 33^2-(4*5*13)

DELTA = 829

DELTA > 0

x = (829^(1/2)-33)/(2*5) or x = (-829^(1/2)-33)/(2*5)

x = (829^(1/2)-33)/10 or x = (-(829^(1/2)+33))/10

(x+(829^(1/2)+33)/10)*(x-((829^(1/2)-33)/10)) = 0

((x+(829^(1/2)+33)/10)*(x-((829^(1/2)-33)/10)))/(x+6) = 0

( x+(829^(1/2)+33)/10 )

x+(829^(1/2)+33)/10 = 0 // - (829^(1/2)+33)/10

x = -((829^(1/2)+33)/10)

( x-((829^(1/2)-33)/10) )

x-((829^(1/2)-33)/10) = 0 // + (829^(1/2)-33)/10

x = (829^(1/2)-33)/10

x in { -((829^(1/2)+33)/10), (829^(1/2)-33)/10 }

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