(4x^2+21x+21)/(x+4)

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Solution for (4x^2+21x+21)/(x+4) equation: 


D( x )

x+4 = 0

x+4 = 0

x+4 = 0

x+4 = 0 // - 4

x = -4

x in (-oo:-4) U (-4:+oo)

(4*x^2+21*x+21)/(x+4) = 0

4*x^2+21*x+21 = 0

4*x^2+21*x+21 = 0

DELTA = 21^2-(4*4*21)

DELTA = 105

DELTA > 0

x = (105^(1/2)-21)/(2*4) or x = (-105^(1/2)-21)/(2*4)

x = (105^(1/2)-21)/8 or x = (-(105^(1/2)+21))/8

(x+(105^(1/2)+21)/8)*(x-((105^(1/2)-21)/8)) = 0

((x+(105^(1/2)+21)/8)*(x-((105^(1/2)-21)/8)))/(x+4) = 0

( x+(105^(1/2)+21)/8 )

x+(105^(1/2)+21)/8 = 0 // - (105^(1/2)+21)/8

x = -((105^(1/2)+21)/8)

( x-((105^(1/2)-21)/8) )

x-((105^(1/2)-21)/8) = 0 // + (105^(1/2)-21)/8

x = (105^(1/2)-21)/8

x in { -((105^(1/2)+21)/8), (105^(1/2)-21)/8 }

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