(x^2+8x+12)/x+2

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Solution for (x^2+8x+12)/x+2 equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

(x^2+8*x+12)/x+2 = 0

(x^2+8*x+12)/x+(2*x)/x = 0

x^2+8*x+2*x+12 = 0

x^2+10*x+12 = 0

x^2+10*x+12 = 0

x^2+10*x+12 = 0

DELTA = 10^2-(1*4*12)

DELTA = 52

DELTA > 0

x = (52^(1/2)-10)/(1*2) or x = (-52^(1/2)-10)/(1*2)

x = (2*13^(1/2)-10)/2 or x = (-2*13^(1/2)-10)/2

(x-((-2*13^(1/2)-10)/2))*(x-((2*13^(1/2)-10)/2)) = 0

((x-((-2*13^(1/2)-10)/2))*(x-((2*13^(1/2)-10)/2)))/x = 0

((x-((-2*13^(1/2)-10)/2))*(x-((2*13^(1/2)-10)/2)))/x = 0 // * x

(x-((-2*13^(1/2)-10)/2))*(x-((2*13^(1/2)-10)/2)) = 0

( x-((-2*13^(1/2)-10)/2) )

x-((-2*13^(1/2)-10)/2) = 0 // + (-2*13^(1/2)-10)/2

x = (-2*13^(1/2)-10)/2

( x-((2*13^(1/2)-10)/2) )

x-((2*13^(1/2)-10)/2) = 0 // + (2*13^(1/2)-10)/2

x = (2*13^(1/2)-10)/2

x in { (-2*13^(1/2)-10)/2, (2*13^(1/2)-10)/2 }

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