(x^2+12x+24)/(2x+4)

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Solution for (x^2+12x+24)/(2x+4) equation:


D( x )

2*x+4 = 0

2*x+4 = 0

2*x+4 = 0

2*x+4 = 0 // - 4

2*x = -4 // : 2

x = -4/2

x = -2

x in (-oo:-2) U (-2:+oo)

(x^2+12*x+24)/(2*x+4) = 0

x^2+12*x+24 = 0

x^2+12*x+24 = 0

DELTA = 12^2-(1*4*24)

DELTA = 48

DELTA > 0

x = (48^(1/2)-12)/(1*2) or x = (-48^(1/2)-12)/(1*2)

x = (4*3^(1/2)-12)/2 or x = (-4*3^(1/2)-12)/2

(x-((-4*3^(1/2)-12)/2))*(x-((4*3^(1/2)-12)/2)) = 0

((x-((-4*3^(1/2)-12)/2))*(x-((4*3^(1/2)-12)/2)))/(2*x+4) = 0

( x-((-4*3^(1/2)-12)/2) )

x-((-4*3^(1/2)-12)/2) = 0 // + (-4*3^(1/2)-12)/2

x = (-4*3^(1/2)-12)/2

( x-((4*3^(1/2)-12)/2) )

x-((4*3^(1/2)-12)/2) = 0 // + (4*3^(1/2)-12)/2

x = (4*3^(1/2)-12)/2

x in { (-4*3^(1/2)-12)/2, (4*3^(1/2)-12)/2 }

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