(4x^2+30x+33)/(x+6)

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Solution for (4x^2+30x+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)

(4*x^2+30*x+33)/(x+6) = 0

4*x^2+30*x+33 = 0

4*x^2+30*x+33 = 0

DELTA = 30^2-(4*4*33)

DELTA = 372

DELTA > 0

x = (372^(1/2)-30)/(2*4) or x = (-372^(1/2)-30)/(2*4)

x = (2*93^(1/2)-30)/8 or x = (-2*93^(1/2)-30)/8

(x-((-2*93^(1/2)-30)/8))*(x-((2*93^(1/2)-30)/8)) = 0

((x-((-2*93^(1/2)-30)/8))*(x-((2*93^(1/2)-30)/8)))/(x+6) = 0

( x-((-2*93^(1/2)-30)/8) )

x-((-2*93^(1/2)-30)/8) = 0 // + (-2*93^(1/2)-30)/8

x = (-2*93^(1/2)-30)/8

( x-((2*93^(1/2)-30)/8) )

x-((2*93^(1/2)-30)/8) = 0 // + (2*93^(1/2)-30)/8

x = (2*93^(1/2)-30)/8

x in { (-2*93^(1/2)-30)/8, (2*93^(1/2)-30)/8 }

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