(4x^2+33x+38)/(x+7)

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Solution for (4x^2+33x+38)/(x+7) equation: 


D( x )

x+7 = 0

x+7 = 0

x+7 = 0

x+7 = 0 // - 7

x = -7

x in (-oo:-7) U (-7:+oo)

(4*x^2+33*x+38)/(x+7) = 0

4*x^2+33*x+38 = 0

4*x^2+33*x+38 = 0

DELTA = 33^2-(4*4*38)

DELTA = 481

DELTA > 0

x = (481^(1/2)-33)/(2*4) or x = (-481^(1/2)-33)/(2*4)

x = (481^(1/2)-33)/8 or x = (-(481^(1/2)+33))/8

(x+(481^(1/2)+33)/8)*(x-((481^(1/2)-33)/8)) = 0

((x+(481^(1/2)+33)/8)*(x-((481^(1/2)-33)/8)))/(x+7) = 0

( x+(481^(1/2)+33)/8 )

x+(481^(1/2)+33)/8 = 0 // - (481^(1/2)+33)/8

x = -((481^(1/2)+33)/8)

( x-((481^(1/2)-33)/8) )

x-((481^(1/2)-33)/8) = 0 // + (481^(1/2)-33)/8

x = (481^(1/2)-33)/8

x in { -((481^(1/2)+33)/8), (481^(1/2)-33)/8 }

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